Question

The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,

after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.

Answer 1

`h(x) = 57(0.8)^x`

Explanation:

Given

`f(x) = 32(0.8)^x`

`g(x) = 25(0.8)^x`

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

`h(x) = f(x) + g(x)`

`h(x) = 32(0.8)^x + 25(0.8)^x`

Factorize

`h(x) = (32 + 25)(0.8)^x`

`h(x) = 57(0.8)^x`