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

Answer: $2193

Explanation:

v(x) = 32,500
`(.92)^(x)`

Plug two and three in for x

v(2) = 32,500
`(.92)^(2)`

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500
`(.92)^(3)`

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193