Question

The value in dollars, v(x), of a certain truck after x years is represented by the equation v

(x)=32,500(0.92)^x To the nearest dollar, how much more is the truck worth after 2 years than after 3 years?

Answer 1

The worth of truck is $2,201 more after 2 years than after 3 years.

Explanation:

Given:
`V(x)=32500(0.92)^x`

The value of truck is depreciate per year using above formula.

We need to find how much more worth of truck after 2 years than 3 years.

First we find the worth of truck after 2 years, put x=2 into formula

`V(2)=32500(0.92)^2`

`V(2)=27508`

The worth of truck after 2 years would be $27,508

Now we find the worth of truck after 3 years, put x=3 into formula

`V(3)=32500(0.92)^3`

`V(3)=25307.36`

The worth of truck after 2 years would be $25,307.36

Now we find difference of both value.

Difference = 27508-25307.36 = $2,201

Hence, The worth of truck is $2,201 more after 2 years than after 3 years.