Question

The value of a tractor, in dollars, x years from its model year can be predicted by the function f(x)=15,000(0.90)x .

The value of a certain truck, in dollars, x years from its model year can be predicted by the exponential function shown in the table.

How much more will the tractor be worth than the truck 5 years after their model years?

Round the answer to the nearest cent.

(graph attached)

Answer 1

Answer:Answer: 1, 442.55

Explanation:

Answer 2

1) Value of the tractor, using the model f(x) = 15,000*(0.90)^x, for x = 5

f(5) = 15,000*(0,90)^5 = 15,000*0.59049 = 8,857.35

2) Value of the truck, using the table g(x) for x = 5

g(5) = 7,414.80

3) difference f(5) - g(5) = 8,857.35 - 7,414.80 = 1,442.55

Answer: 1, 442.55