61:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096354:0.100402:0.155949:0.100402:0.155949:0.083764:0.096354:0.083764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la pendiente de la recta que pasa por los puntos A(3, 2) y B(5, 4).:@0.096354:0.124121:0.603291:0.124121:0.603291:0.107732:0.096354:0.107732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.191266:0.149175:0.197388:0.149175:0.197388:0.136581:0.191266:0.136581:0.000000
x:@0.331424:0.216164:0.337530:0.216164:0.337530:0.203570:0.331424:0.203570:0.000000
0:@0.190809:0.223070:0.197349:0.223070:0.197349:0.211151:0.190809:0.211151:0.000000
6:@0.188433:0.161618:0.194974:0.161618:0.194974:0.149699:0.188433:0.149699:0.000000
4:@0.188433:0.179438:0.194974:0.179438:0.194974:0.167519:0.188433:0.167519:0.000000
2:@0.188433:0.197258:0.194974:0.197258:0.194974:0.185339:0.188433:0.185339:0.000000
–2:@0.181733:0.232895:0.194974:0.232895:0.194974:0.220976:0.181733:0.220976:0.000000:0.000000
2:@0.221332:0.223783:0.227872:0.223783:0.227872:0.211864:0.221332:0.211864:0.000000
–1:@0.169547:0.223783:0.182788:0.223783:0.182788:0.211864:0.169547:0.211864:0.000000:0.000000
–2:@0.145799:0.223783:0.159040:0.223783:0.159040:0.211864:0.145799:0.211864:0.000000:0.000000
4:@0.245067:0.223783:0.251607:0.223783:0.251607:0.211864:0.245067:0.211864:0.000000
6:@0.268815:0.223783:0.275355:0.223783:0.275355:0.211864:0.268815:0.211864:0.000000
8:@0.292563:0.223783:0.299103:0.223783:0.299103:0.211864:0.292563:0.211864:0.000000
(5, 4):@0.234466:0.173094:0.263097:0.173094:0.263097:0.159685:0.234466:0.159685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 2):@0.211398:0.188110:0.240029:0.188110:0.240029:0.174701:0.211398:0.174701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.236762:0.201558:0.243060:0.201558:0.243060:0.191762:0.236762:0.191762:0.000000
B:@0.265305:0.180338:0.270934:0.180338:0.270934:0.170543:0.265305:0.170543:0.000000
D:@0.265305:0.201664:0.272646:0.201664:0.272646:0.191868:0.265305:0.191868:0.000000
m:@0.380444:0.164146:0.395076:0.164146:0.395076:0.148753:0.380444:0.148753:0.000000
 = :@0.395076:0.164146:0.414130:0.164146:0.414130:0.147757:0.395076:0.147757:0.000000:0.000000:0.000000
= :@0.480433:0.164146:0.495451:0.164146:0.495451:0.147757:0.480433:0.147757:0.000000:0.000000
= :@0.547233:0.164146:0.562251:0.164146:0.562251:0.147757:0.547233:0.147757:0.000000:0.000000
= 1:@0.586502:0.164146:0.610513:0.164146:0.610513:0.147757:0.586502:0.147757:0.000000:0.000000:0.000000
y:@0.423942:0.157721:0.431424:0.157721:0.431424:0.142328:0.423942:0.142328:0.000000
2:@0.431424:0.158370:0.436666:0.158370:0.436666:0.148815:0.431424:0.148815:0.000000
 – :@0.436665:0.157721:0.453951:0.157721:0.453951:0.141332:0.436665:0.141332:0.000000:0.000000:0.000000
y:@0.453951:0.157721:0.461432:0.157721:0.461432:0.142328:0.453951:0.142328:0.000000
1:@0.461432:0.158370:0.466675:0.158370:0.466675:0.148815:0.461432:0.148815:0.000000
x:@0.423960:0.172808:0.431424:0.172808:0.431424:0.157415:0.423960:0.157415:0.000000
2:@0.431424:0.174715:0.436666:0.174715:0.436666:0.165160:0.431424:0.165160:0.000000
 – :@0.436665:0.172808:0.453951:0.172808:0.453951:0.156420:0.436665:0.156420:0.000000:0.000000:0.000000
x:@0.453951:0.172808:0.461414:0.172808:0.461414:0.157415:0.453951:0.157415:0.000000
1:@0.461414:0.174715:0.466656:0.174715:0.466656:0.165160:0.461414:0.165160:0.000000
4 – 2:@0.501594:0.157721:0.536865:0.157721:0.536865:0.141332:0.501594:0.141332:0.000000:0.000000:0.000000:0.000000:0.000000
5 – 3:@0.501594:0.172810:0.536865:0.172810:0.536865:0.156421:0.501594:0.156421:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.567768:0.157721:0.576761:0.157721:0.576761:0.141332:0.567768:0.141332:0.000000
2:@0.567768:0.172810:0.576761:0.172810:0.576761:0.156421:0.567768:0.156421:0.000000
m:@0.380451:0.197442:0.395083:0.197442:0.395083:0.182048:0.380451:0.182048:0.000000
 = :@0.395083:0.197442:0.414137:0.197442:0.414137:0.181053:0.395083:0.181053:0.000000:0.000000:0.000000
arctan:@0.414137:0.197442:0.460372:0.197442:0.460372:0.182048:0.414137:0.182048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (1) = 45°:@0.460372:0.197442:0.525624:0.197442:0.525624:0.181053:0.460372:0.181053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La pendiente de la recta es 1 y corresponde a :@0.380451:0.221161:0.714913:0.221161:0.714913:0.204772:0.380451:0.204772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ángulo de inclinación con el eje   de 45°.:@0.380451:0.237757:0.702456:0.237757:0.702456:0.221368:0.380451:0.221368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.641350:0.237757:0.648813:0.237757:0.648813:0.222364:0.641350:0.222364:0.000000
Problemas con funciones lineales:@0.096371:0.271074:0.360234:0.271074:0.360234:0.254173:0.096371:0.254173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los problemas de funciones lineales se utilizan para modelar situaciones en las que :@0.096371:0.294793:0.716479:0.294793:0.716479:0.278404:0.096371:0.278404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una variable depende linealmente de otra. Estos problemas tienen diversas :@0.096371:0.311389:0.716591:0.311389:0.716591:0.295001:0.096371:0.295001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones en diferentes áreas. Veamos algunos ejemplos.:@0.096371:0.327986:0.530058:0.327986:0.530058:0.311597:0.096371:0.311597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096371:0.358841:0.113545:0.358841:0.113545:0.342217:0.096371:0.342217:0.000000:0.000000:0.000000
Una empresa de telefonía fija cobra mensualmente 20 dólares de tarifa base, más :@0.120105:0.358841:0.716569:0.358841:0.716569:0.342452:0.120105:0.342452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,15 dólares por cada minuto de llamadas. Escribe la función que modela el costo :@0.120105:0.375438:0.716512:0.375438:0.716512:0.359049:0.120105:0.359049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mensual del servicio y calcula el valor que debe pagar un usuario que ha realiza­:@0.120105:0.392034:0.712517:0.392034:0.712517:0.375645:0.120105:0.375645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do llamadas por 200 minutos durante un mes.   :@0.120105:0.408630:0.470022:0.408630:0.470022:0.392241:0.120105:0.392241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.096371:0.432349:0.164037:0.432349:0.164037:0.415711:0.096371:0.415711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables independiente y dependiente.:@0.124860:0.456068:0.543031:0.456068:0.543031:0.439679:0.124860:0.439679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable dependiente  : costo mensual; variable independiente  : número de :@0.124860:0.479787:0.716531:0.479787:0.716531:0.463398:0.124860:0.463398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.291978:0.479787:0.299460:0.479787:0.299460:0.464394:0.291978:0.464394:0.000000
x:@0.610203:0.479787:0.617666:0.479787:0.617666:0.464394:0.610203:0.464394:0.000000
minutos. Escribimos la función:  :@0.124860:0.497462:0.359515:0.497462:0.359515:0.481074:0.124860:0.481074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.359506:0.497167:0.384344:0.497167:0.384344:0.481775:0.359506:0.481775:0.000000:0.000000
y:@0.411234:0.497167:0.418715:0.497167:0.418715:0.481775:0.411234:0.481775:0.000000
x:@0.467950:0.497167:0.475412:0.497167:0.475412:0.481775:0.467950:0.481775:0.000000
():@0.368418:0.498484:0.392888:0.498484:0.392888:0.476918:0.368418:0.476918:0.000000:0.000000
==:@0.396249:0.496752:0.433709:0.496752:0.433709:0.479811:0.396249:0.479811:0.000000:0.000000
+:@0.479738:0.496752:0.489854:0.496752:0.489854:0.479811:0.479738:0.479811:0.000000
015:@0.436856:0.497167:0.467442:0.497167:0.467442:0.480779:0.436856:0.480779:0.000000:0.000000:0.000000
20:@0.492705:0.497167:0.510628:0.497167:0.510628:0.480779:0.492705:0.480779:0.000000:0.000000
,:@0.446063:0.497167:0.449269:0.497167:0.449269:0.480779:0.446063:0.480779:0.000000
Evaluamos la función para   = 200:   200:@0.124851:0.522280:0.428413:0.521967:0.428413:0.505579:0.124851:0.505891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.320885:0.522280:0.328348:0.522280:0.328348:0.506887:0.320885:0.506887:0.000000
f:@0.385653:0.521967:0.390351:0.521967:0.390351:0.506575:0.385653:0.506575:0.000000
(:@0.394567:0.523284:0.400703:0.523284:0.400703:0.501718:0.394567:0.501718:0.000000
):@0.429595:0.523284:0.435731:0.523284:0.435731:0.501718:0.429595:0.501718:0.000000
=:@0.439096:0.521552:0.449212:0.521552:0.449212:0.504611:0.439096:0.504611:0.000000
(:@0.483447:0.523284:0.489582:0.523284:0.489582:0.501718:0.483447:0.501718:0.000000
):@0.518475:0.523284:0.524611:0.523284:0.524611:0.501718:0.518475:0.501718:0.000000
+:@0.527390:0.521552:0.537506:0.521552:0.537506:0.504611:0.527390:0.504611:0.000000
=:@0.561939:0.521552:0.572055:0.521552:0.572055:0.504611:0.561939:0.504611:0.000000
015200:@0.452349:0.521967:0.517265:0.521967:0.517265:0.505579:0.452349:0.505579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 50:@0.540334:0.521967:0.593089:0.521967:0.593089:0.505579:0.540334:0.505579:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.461543:0.521967:0.464750:0.521967:0.464750:0.505579:0.461543:0.505579:0.000000
El usuario debe pagar $50 por las llamadas.:@0.124851:0.546006:0.439443:0.546006:0.439443:0.529617:0.124851:0.529617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096362:0.580415:0.113537:0.580415:0.113537:0.563791:0.096362:0.563791:0.000000:0.000000:0.000000
Raquel dispone de 50 dólares para ahorrarlos en una alcancía. Si planea ahorrar 5 :@0.120097:0.580415:0.716508:0.580415:0.716508:0.564026:0.120097:0.564026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dólares cada mes, ¿cuánto dinero tendrá al cabo de un año?:@0.120097:0.597012:0.559611:0.597012:0.559611:0.580623:0.120097:0.580623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.096362:0.620731:0.164029:0.620731:0.164029:0.604093:0.096362:0.604093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las variables son  : valor ahorrado;  : tiempo.:@0.124851:0.644450:0.451588:0.644450:0.451588:0.628061:0.124851:0.628061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.251376:0.644450:0.258857:0.644450:0.258857:0.629057:0.251376:0.629057:0.000000
x:@0.380459:0.644450:0.387923:0.644450:0.387923:0.629057:0.380459:0.629057:0.000000
La función es: :@0.124851:0.668362:0.228839:0.668362:0.228839:0.651973:0.124851:0.651973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.228837:0.668952:0.253676:0.668952:0.253676:0.653560:0.228837:0.653560:0.000000:0.000000
y:@0.280565:0.668952:0.288046:0.668952:0.288046:0.653560:0.280565:0.653560:0.000000
x:@0.315686:0.668952:0.323148:0.668952:0.323148:0.653560:0.315686:0.653560:0.000000
():@0.237749:0.670269:0.262219:0.670269:0.262219:0.648703:0.237749:0.648703:0.000000:0.000000
==:@0.265582:0.668537:0.303042:0.668537:0.303042:0.651596:0.265582:0.651596:0.000000:0.000000
+:@0.327476:0.668537:0.337592:0.668537:0.337592:0.651596:0.327476:0.651596:0.000000
5:@0.306188:0.668952:0.315180:0.668952:0.315180:0.652564:0.306188:0.652564:0.000000
50. Luego,  12:@0.340442:0.668952:0.452771:0.668953:0.452771:0.652565:0.340442:0.652564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.420082:0.668953:0.424781:0.668953:0.424781:0.653561:0.420082:0.653561:0.000000
y:@0.477849:0.668953:0.485330:0.668953:0.485330:0.653561:0.477849:0.653561:0.000000
():@0.428996:0.670269:0.459510:0.670269:0.459510:0.648703:0.428996:0.648703:0.000000:0.000000
==:@0.462886:0.668538:0.500347:0.668538:0.500347:0.651597:0.462886:0.651597:0.000000:0.000000
():@0.512969:0.670269:0.543483:0.670269:0.543483:0.648703:0.512969:0.648703:0.000000:0.000000
+:@0.546285:0.668538:0.556401:0.668538:0.556401:0.651597:0.546285:0.651597:0.000000
=:@0.580834:0.668538:0.590950:0.668538:0.590950:0.651597:0.580834:0.651597:0.000000
512:@0.503481:0.668953:0.536740:0.668953:0.536740:0.652565:0.503481:0.652565:0.000000:0.000000:0.000000
50110:@0.559220:0.668953:0.619754:0.668953:0.619754:0.652565:0.559220:0.652565:0.000000:0.000000:0.000000:0.000000:0.000000
Raquel tendrá $110, al cabo de un año.:@0.124851:0.692100:0.409424:0.692100:0.409424:0.675711:0.124851:0.675711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096362:0.726510:0.113168:0.726510:0.113168:0.709886:0.096362:0.709886:0.000000:0.000000:0.000000
La velocidad, en función del tiempo de un objeto que se lanza verticalmente hacia :@0.120097:0.726510:0.716452:0.726510:0.716452:0.710121:0.120097:0.710121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriba, con una velocidad inicial de 50 m/s, está dado por la función   = 50 – 9,8 . :@0.120097:0.743106:0.716526:0.743106:0.716526:0.726717:0.120097:0.726717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.618712:0.743106:0.626452:0.743106:0.626452:0.727713:0.618712:0.727713:0.000000
t:@0.704106:0.743106:0.709487:0.743106:0.709487:0.727713:0.704106:0.727713:0.000000
Calcula el tiempo que demora el objeto en alcanzar su altura máxima, si se sabe :@0.120097:0.759703:0.716581:0.759703:0.716581:0.743314:0.120097:0.743314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que, por acción de la gravedad, este deja de subir.:@0.120097:0.776299:0.475104:0.776299:0.475104:0.759910:0.120097:0.759910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.096362:0.800018:0.164029:0.800018:0.164029:0.783380:0.096362:0.783380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el objeto deja de subir, la velocidad en el punto más alto será   = 0; luego, se :@0.124851:0.823737:0.716541:0.823737:0.716541:0.807348:0.124851:0.807348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.602234:0.823737:0.609974:0.823737:0.609974:0.808344:0.602234:0.808344:0.000000
tiene que: 0 = 50 – 9,8 .:@0.124851:0.840333:0.293575:0.840333:0.293575:0.823945:0.124851:0.823945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.285172:0.840333:0.290553:0.840333:0.290553:0.824940:0.285172:0.824940:0.000000
t:@0.124851:0.870544:0.130232:0.870544:0.130232:0.855152:0.124851:0.855152:0.000000
=:@0.134931:0.870129:0.145047:0.870129:0.145047:0.853188:0.134931:0.853188:0.000000
=:@0.177551:0.870129:0.187667:0.870129:0.187667:0.853188:0.177551:0.853188:0.000000
50:@0.152067:0.861817:0.169977:0.861817:0.169977:0.845430:0.152067:0.845430:0.000000:0.000000
98 ,:@0.149598:0.881344:0.162020:0.881348:0.162020:0.864960:0.149598:0.864957:0.000000:0.000000:0.000000:0.000000
51, s   El tiempo de subida del objeto es de 5,1 s.:@0.190782:0.870544:0.539377:0.870549:0.539377:0.854160:0.190782:0.854156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretación :@0.755242:0.149045:0.862609:0.149045:0.862609:0.133681:0.755242:0.133681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométrica de la :@0.755242:0.164133:0.879545:0.164133:0.879545:0.148769:0.755242:0.148769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente de la recta:@0.755242:0.179221:0.908071:0.179221:0.908071:0.163856:0.755242:0.163856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente positiva:@0.755242:0.197866:0.878674:0.197866:0.878674:0.182967:0.755242:0.182967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = mx + b:@0.809420:0.220083:0.876764:0.220083:0.876764:0.206089:0.809420:0.206089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.821314:0.239156:0.828115:0.239156:0.828115:0.225162:0.821314:0.225162:0.000000
x:@0.897705:0.264214:0.904490:0.264214:0.904490:0.250220:0.897705:0.250220:0.000000
Pendiente negativa:@0.755242:0.301931:0.884588:0.301931:0.884588:0.287032:0.755242:0.287032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = –mx + b:@0.805232:0.324147:0.880952:0.324147:0.880952:0.310154:0.805232:0.310154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.821314:0.343221:0.828115:0.343221:0.828115:0.329227:0.821314:0.329227:0.000000
x:@0.897705:0.370366:0.904490:0.370366:0.904490:0.356372:0.897705:0.356372:0.000000
Pendiente nula:@0.755242:0.409855:0.855941:0.409855:0.855941:0.394956:0.755242:0.394956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m = :@0.824346:0.432071:0.853663:0.432071:0.853663:0.418078:0.824346:0.418078:0.000000:0.000000:0.000000:0.000000
0:@0.853663:0.432071:0.861838:0.432071:0.861838:0.417172:0.853663:0.417172:0.000000
y = b:@0.827479:0.454288:0.858722:0.454288:0.858722:0.440294:0.827479:0.440294:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.821314:0.473361:0.828115:0.473361:0.828115:0.459367:0.821314:0.459367:0.000000
x:@0.897705:0.498419:0.904490:0.498419:0.904490:0.484425:0.897705:0.484425:0.000000
Pendiente indefinida:@0.755242:0.530783:0.893718:0.530783:0.893718:0.515884:0.755242:0.515884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(No es función):@0.755242:0.545871:0.856561:0.545871:0.856561:0.530972:0.755242:0.530972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = b:@0.827479:0.568088:0.858705:0.568088:0.858705:0.554094:0.827479:0.554094:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.821314:0.589550:0.828115:0.589550:0.828115:0.575556:0.821314:0.575556:0.000000
x:@0.897705:0.607969:0.904490:0.607969:0.904490:0.593975:0.897705:0.593975:0.000000
Responde: ¿por qué x = b :@0.755242:0.638325:0.915027:0.638325:0.915027:0.624332:0.755242:0.624332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no es función?:@0.755242:0.653413:0.845890:0.653413:0.845890:0.639419:0.755242:0.639419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.776108:0.116602:0.883649:0.116602:0.883649:0.099701:0.776108:0.099701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es importante, para :@0.755242:0.785482:0.888171:0.785482:0.888171:0.770583:0.755242:0.770583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellas personas que :@0.755242:0.800570:0.907321:0.800570:0.907321:0.785671:0.755242:0.785671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen dificultades de :@0.755242:0.815658:0.903066:0.815658:0.903066:0.800759:0.755242:0.800759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
motricidad, que tengan :@0.755242:0.830745:0.916131:0.830745:0.916131:0.815846:0.755242:0.815846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo suficiente para :@0.755242:0.845833:0.908642:0.845833:0.908642:0.830934:0.755242:0.830934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar su trabajo.:@0.755242:0.860921:0.874250:0.860921:0.874250:0.846021:0.755242:0.846021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Necesidades:@0.780026:0.746126:0.874980:0.746126:0.874980:0.729226:0.780026:0.729226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas:@0.785120:0.759957:0.866544:0.759957:0.866544:0.743056:0.785120:0.743056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000