﻿36:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Modelos matemáticos con funciones reales simples:@0.115891:0.141978:0.877438:0.141978:0.877438:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.053646:0.122645:0.076865:0.122645:0.076865:0.065614:0.053646:0.065614:0.000000:0.000000
M.5.1.22. Resuelve (con o sin el uso de la tecnología) problemas o situaciones, reales o hipotéticas, con el empleo de la modelización con funciones reales :@0.125388:0.068287:0.877792:0.068287:0.877792:0.057857:0.125388:0.057857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(función afín a trozos, función potencia entera negativa con n=-1, -2, función raíz cuadrada, función valor absoluto de la función afín), identificando las variables :@0.125388:0.078848:0.877747:0.078848:0.877747:0.068419:0.125388:0.068419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
significativas presentes y las relaciones entre ellas; juzgar la pertinencia y validez de los resultados obtenidos.:@0.125388:0.089409:0.629967:0.089409:0.629967:0.078980:0.125388:0.078980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un modelo matemático es la representación simplificada de la realidad, mediante el uso de funciones :@0.115209:0.166499:0.884010:0.166499:0.884010:0.150110:0.115209:0.150110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que describen su comportamiento o de ecuaciones que representan sus relaciones.:@0.115209:0.183096:0.728621:0.183096:0.728621:0.166707:0.115209:0.166707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para efectuar modelos matemáticos con funciones no existe una receta o pasos secuenciales a seguir, sin :@0.115209:0.206815:0.883842:0.206815:0.883842:0.190426:0.115209:0.190426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
embargo, te presentamos algunos consejos útiles para muchos casos::@0.115209:0.223411:0.625763:0.223411:0.625763:0.207022:0.115209:0.207022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.247130:0.133950:0.247130:0.133950:0.229994:0.115209:0.229994:0.000000:0.000000:0.000000
Lee:@0.148452:0.247130:0.175357:0.247130:0.175357:0.230506:0.148452:0.230506:0.000000:0.000000:0.000000
 el problema cuidadosamente varias veces y :@0.175357:0.247130:0.514492:0.247130:0.514492:0.230741:0.175357:0.230741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.516489:0.247130:0.596226:0.247130:0.596226:0.230506:0.516489:0.230506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los datos y las incógnitas que deben :@0.596226:0.247130:0.883938:0.247130:0.883938:0.230741:0.596226:0.230741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrarse. :@0.148452:0.263726:0.242966:0.263726:0.242966:0.247338:0.148452:0.247338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.282812:0.133950:0.282812:0.133950:0.265677:0.115209:0.265677:0.000000:0.000000:0.000000
Si es posible, :@0.148452:0.282812:0.243963:0.282812:0.243963:0.266423:0.148452:0.266423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
haz:@0.243189:0.282812:0.270185:0.282812:0.270185:0.266188:0.243189:0.266188:0.000000:0.000000:0.000000
 un dibujo o un diagrama que incluya los datos pertinentes. :@0.270185:0.282812:0.702645:0.282812:0.702645:0.266423:0.270185:0.266423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introduce:@0.701871:0.282812:0.776595:0.282812:0.776595:0.266188:0.701871:0.266188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 variables para :@0.776595:0.282812:0.883862:0.282812:0.883862:0.266423:0.776595:0.266423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denotar las incógnitas. Palabras como “qué”, “encuentre”, “cuánto”, “dónde” y “cuándo” deben guiarte :@0.148452:0.299409:0.883942:0.299409:0.883942:0.283020:0.148452:0.283020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para reconocer las incógnitas. :@0.148452:0.316005:0.369840:0.316005:0.369840:0.299616:0.148452:0.299616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.115209:0.335091:0.133950:0.335091:0.133950:0.317955:0.115209:0.317955:0.000000:0.000000:0.000000
Trata:@0.148452:0.335091:0.186505:0.335091:0.186505:0.318467:0.148452:0.318467:0.000000:0.000000:0.000000:0.000000:0.000000
 de descomponer el problema en otros más pequeños. :@0.186505:0.335091:0.593421:0.335091:0.593421:0.318702:0.186505:0.318702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.115209:0.354177:0.133950:0.354177:0.133950:0.337041:0.115209:0.337041:0.000000:0.000000:0.000000
Escribe:@0.148452:0.354177:0.203201:0.354177:0.203201:0.337553:0.148452:0.337553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una lista de hechos conocidos y relaciones entre las variables. Una relación entre variables :@0.203201:0.354177:0.883962:0.354177:0.883962:0.337788:0.203201:0.337788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generalmente se escribe como una ecuación. :@0.148452:0.370773:0.486154:0.370773:0.486154:0.354384:0.148452:0.354384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.115209:0.389859:0.133950:0.389859:0.133950:0.372723:0.115209:0.372723:0.000000:0.000000:0.000000
Encuentra:@0.148452:0.389859:0.226457:0.389859:0.226457:0.373235:0.148452:0.373235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de la función para uno o más valores en la variable de manera que pueda genera-:@0.226457:0.389859:0.880028:0.389859:0.880028:0.373470:0.226457:0.373470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lizarse el procedimiento.:@0.148452:0.406455:0.326425:0.406455:0.326425:0.390066:0.148452:0.390066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.439163:0.272331:0.439163:0.272331:0.420726:0.115209:0.420726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos:@0.115209:0.459009:0.206886:0.459009:0.206886:0.442385:0.115209:0.442385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente problema.:@0.206886:0.459009:0.374445:0.459009:0.374445:0.442620:0.206886:0.442620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de la función del problema es::@0.507681:0.657612:0.802777:0.657612:0.802777:0.641224:0.507681:0.641224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   =  , entonces:@0.115356:0.658871:0.248717:0.658871:0.248717:0.642482:0.115356:0.642482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.131794:0.658871:0.139275:0.658871:0.139275:0.642510:0.131794:0.642510:0.000000
kx:@0.158330:0.658871:0.173367:0.658871:0.173367:0.642510:0.158330:0.642510:0.000000:0.000000
y:@0.115356:0.682590:0.122838:0.682590:0.122838:0.666229:0.115356:0.666229:0.000000
 = 30     = 10:@0.122838:0.682590:0.216487:0.682590:0.216487:0.666201:0.122838:0.666201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.171984:0.682590:0.179448:0.682590:0.179448:0.666229:0.171984:0.666229:0.000000
30 = 10:@0.115356:0.706309:0.170381:0.706309:0.170381:0.689920:0.115356:0.689920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.170381:0.706309:0.177955:0.706309:0.177955:0.689948:0.170381:0.689948:0.000000
k:@0.115356:0.740124:0.122930:0.740124:0.122930:0.723763:0.115356:0.723763:0.000000
 = :@0.122930:0.740124:0.141984:0.740124:0.141984:0.723735:0.122930:0.723735:0.000000:0.000000:0.000000
30:@0.146065:0.730325:0.163848:0.730325:0.163848:0.713936:0.146065:0.713936:0.000000:0.000000
10:@0.145489:0.749773:0.163271:0.749773:0.163271:0.733384:0.145489:0.733384:0.000000:0.000000
k = 3:@0.115354:0.777525:0.151196:0.777525:0.151196:0.761136:0.115354:0.761136:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, la función es la siguiente::@0.115354:0.801244:0.391046:0.801244:0.391046:0.784855:0.115354:0.784855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.279968:0.824963:0.287450:0.824963:0.287450:0.808602:0.279968:0.808602:0.000000
 = 3:@0.287450:0.824963:0.315497:0.824963:0.315497:0.808574:0.287450:0.808574:0.000000:0.000000:0.000000:0.000000
x:@0.315497:0.824963:0.322960:0.824963:0.322960:0.808602:0.315497:0.808602:0.000000
Para   = 6 metros:@0.115354:0.848682:0.241434:0.848682:0.241434:0.832293:0.115354:0.832293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.150256:0.848682:0.157719:0.848682:0.157719:0.832321:0.150256:0.832321:0.000000
y:@0.274329:0.872401:0.281811:0.872401:0.281811:0.856040:0.274329:0.856040:0.000000
 = 3(6):@0.281811:0.872401:0.328617:0.872401:0.328617:0.856012:0.281811:0.856012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.279213:0.896120:0.286694:0.896120:0.286694:0.879759:0.279213:0.879759:0.000000
 = 18:@0.286694:0.896120:0.323734:0.896120:0.323734:0.879731:0.286694:0.879731:0.000000:0.000000:0.000000:0.000000:0.000000
El costo de los 6 metros de tela es de $18.:@0.115354:0.919839:0.419314:0.919839:0.419314:0.903450:0.115354:0.903450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.529750:0.906549:0.542991:0.906549:0.542991:0.894630:0.529750:0.894630:0.000000:0.000000
–2 0:@0.557050:0.906549:0.588879:0.906539:0.588879:0.894620:0.557050:0.894630:0.000000:0.000000:0.000000:0.000000
y:@0.589456:0.677087:0.594897:0.677087:0.594897:0.665188:0.589456:0.665188:0.000000
x:@0.797360:0.896843:0.802787:0.896843:0.802787:0.884944:0.797360:0.884944:0.000000
2:@0.576241:0.875992:0.582782:0.875992:0.582782:0.864073:0.576241:0.864073:0.000000
2:@0.616581:0.906539:0.623121:0.906539:0.623121:0.894620:0.616581:0.894620:0.000000
8:@0.700209:0.906539:0.706749:0.906539:0.706749:0.894620:0.700209:0.894620:0.000000
4:@0.576241:0.854256:0.582782:0.854256:0.582782:0.842336:0.576241:0.842336:0.000000
4:@0.644457:0.906539:0.650997:0.906539:0.650997:0.894620:0.644457:0.894620:0.000000
10:@0.724815:0.906539:0.737895:0.906539:0.737895:0.894620:0.724815:0.894620:0.000000:0.000000
6:@0.576241:0.831011:0.582782:0.831011:0.582782:0.819091:0.576241:0.819091:0.000000
6:@0.672333:0.906539:0.678873:0.906539:0.678873:0.894620:0.672333:0.894620:0.000000
12:@0.752691:0.906539:0.765771:0.906539:0.765771:0.894620:0.752691:0.894620:0.000000:0.000000
8:@0.576241:0.809204:0.582782:0.809204:0.582782:0.797285:0.576241:0.797285:0.000000
10:@0.572971:0.786965:0.586052:0.786965:0.586052:0.775046:0.572971:0.775046:0.000000:0.000000
12:@0.572971:0.763951:0.586052:0.763951:0.586052:0.752032:0.572971:0.752032:0.000000:0.000000
14:@0.572971:0.741984:0.586052:0.741984:0.586052:0.730064:0.572971:0.730064:0.000000:0.000000
16:@0.572971:0.719392:0.586052:0.719392:0.586052:0.707473:0.572971:0.707473:0.000000:0.000000
18:@0.572971:0.697153:0.586052:0.697153:0.586052:0.685234:0.572971:0.685234:0.000000:0.000000
A:@0.682179:0.693765:0.690019:0.693765:0.690019:0.681846:0.682179:0.681846:0.000000
El costo de una pieza de tela es proporcional al número de metros, sabiendo :@0.115209:0.488041:0.661701:0.488041:0.661701:0.471653:0.115209:0.471653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que una pieza de 10 metros cuesta $ 30, :@0.115209:0.504638:0.422656:0.504638:0.422656:0.488249:0.115209:0.488249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinamos:@0.423780:0.504638:0.536299:0.504638:0.536299:0.488014:0.423780:0.488014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la fórmula de la :@0.536299:0.504638:0.661551:0.504638:0.661551:0.488249:0.536299:0.488249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función costo y el costo de una pieza de tela de 6 metros.:@0.115209:0.521234:0.535481:0.521234:0.535481:0.504845:0.115209:0.504845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115356:0.556211:0.184571:0.556211:0.184571:0.539310:0.115356:0.539310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Designando:@0.115356:0.579930:0.208582:0.579930:0.208582:0.563306:0.115356:0.563306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con   la variable independiente “número de metros” y por   la función costo, se tiene::@0.208582:0.579930:0.832077:0.579930:0.832077:0.563541:0.208582:0.563541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.244552:0.579930:0.252016:0.579930:0.252016:0.563569:0.244552:0.563569:0.000000
y:@0.636431:0.579930:0.643913:0.579930:0.643913:0.563569:0.636431:0.563569:0.000000
y:@0.115356:0.603649:0.122838:0.603649:0.122838:0.587288:0.115356:0.587288:0.000000
 = :@0.122838:0.603649:0.141892:0.603649:0.141892:0.587260:0.122838:0.587260:0.000000:0.000000:0.000000
kx. :@0.141892:0.603649:0.163581:0.603649:0.163581:0.587288:0.141892:0.587288:0.000000:0.000000:0.000000:0.000000
Siendo   una constante.:@0.163581:0.603649:0.338587:0.603649:0.338587:0.587260:0.163581:0.587260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.218662:0.603649:0.226235:0.603649:0.226235:0.587288:0.218662:0.587288:0.000000
Al reemplazar los datos, se tiene una ecuación lineal, de la cual se puede determinar el valor de  , así::@0.115356:0.627368:0.850448:0.627368:0.850448:0.610979:0.115356:0.610979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.813334:0.627368:0.820908:0.627368:0.820908:0.611007:0.813334:0.611007:0.000000
www.freepik.es, :@0.895527:0.525444:0.895527:0.468625:0.881631:0.468625:0.881631:0.525444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000