Question

The value in dollars, v(x), Of us are in car after x years is represented by the equation v(x)=36000(.92)^x. To the nearest dollar how much more is the car worth after five years then after eight years?

Answer 1

5251 dollars

Explanation:

We can solve this problem by calculating the value of the car after 5 years and after 8 years, and then calculating the difference between the two values.

The expression that gives the value of the car in dollars after x years is:

`v(x)=36,000(0.92)^x`

where

x is the number of years

After 5 years, we have

x = 5

Substituting, we find the value of the car:

`v(5)=36,000(0.92)^5=23,727`

After 8 years, we have

x = 8

Substituting, we find the value of the car:

`v(8)=36,000(0.92)^8=18,476`

Therefore, the difference in value of the car between 5 years and 8 years is

`v(5)-v(8)=23,727-18,476=5,251`