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Alisiya [41]
3 years ago
9

Kiara desea contratar el servicio de una línea telefónica con internet para realizar sus clases virtuales. Si el costo de una lí

nea de telefonía móvil con Internet es C = 10 + 1,5t (C, en soles; t, en horas).
- Expresa el costo de la línea telefónica móvil en función del tiempo.
- Determina el dominio y el rango de una función.
- ¿Cuál será el costo luego de 48 horas de consumo de la línea telefónica con Internet?

Doy coronita

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

a) Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

a) Nota - Puesto que la ecuación que describe el Coste ya existe en el enunciado, entonces se entiende el verbo <em>"Expresa"</em> como <em>"Describa en sus propias palabras"</em>.

Como puede apreciarse el Coste de la línea telefónica móvil aumenta linealmente con el Tiempo de consumo por parte del usuario. En consecuencia, la función de Coste queda definida como sigue:

C(t) = C_{o} + r\cdot t (1)

Donde:

  • C_{o} - Coste fijo, en soles.
  • r - Tasa de consumo, en soles por hora.

Entonces, tenemos que Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) Una característica de las Funciones Lineales es que tanto su Dominio como Rango comprenden al Conjunto de todos los Números Reales, al ser de Pendiente constante esta Función.

Por tanto, el Dominio y el Rango de la Función en cuestión es el Conjunto de todos los Números Reales.

c) Si sabemos que C_{o} = 10, r = 1,5 y t = 48, entonces el Coste Total por concepto de 48 horas de consumo es:

C(48) = 10 + 1,5\cdot (48)

C(48) = 82

El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

Invitamos a ver este problema sobre Costes: brainly.com/question/15723794

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