Question

The value of a tractor, in dollars, x years from its models 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 to the nearest cent

Answer 1

1442.55 is the answer

Answer 2

Answer: The tractor will be $1442.55 more worth than the truck 5 years after their model years .

Explanation:

Given : The value of a tractor, in dollars, x years from its models 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 given in the table.

As x= 5 , we have

The value of a tractor , 5 years from its models year :
`f(5)=150000(0.90)^5=8857.35`

From , the table , the value of a certain truck 5 years from its model year g(5)=7414.80

Difference= f(5)-g(5)= 8857.35- 7414.80= 1442.55

Hence, the tractor will be $1442.55 more worth than the truck 5 years after their model years .