Problema Solution

A used car has a value of $15,250 when it is purchased in 2012. The value of the car depreciates at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Answer provided by our tutors

y = 15250*(1 - 0.075)^x


after 8 years we have x = 8


y = 15250*(1 - 0.075)^8


y = $8,173.42


after 8 years the value of the car will be $8,173.42.