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

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, class=

Verified Answer :

1442.55 is the answer

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

Step-by-step 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
.