Question

The value of a certain car, in dollar, x years from its model year can be predicted by the following function: The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent. Show all work

Answer 1

The value of the car in five years is: 8,473.16

`f(5)=17000(0.87)^5=17000(0.4984209207)\text{ = }8473.16`

The value of the SUV in five years is 11,756.22

The difference between they both is: 11,756.22 - 8,473.16 = 3283.06

Answer:

The SUV will be woth $3,283.06 more than the car