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 value after 2 years is

... v(2) = 32,500·0.92² ≈ 27508

The value after 3 years is

... v(3) = 32,500·0.92³ ≈ 25307.36

The difference in value is 27508.00 - 25307.36 = 2200.64

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