Question

The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . 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?
Enter your answer, rounded to the nearest cent, in the box

x ​g(x)

0 17,000
1 14,280
2 11,995
3 10,076
4 8463.81
5 7109.60

Answer 1

Answer: For anyone who needs it this is the correct answer! :)

Step-by-step explanation:

Answer 2

An exponential decay function is:

f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P  If we look at the second point, when t=1 we can see:

14280=17000r

r=357/425

r=0.84

So in five years the SUV will be worth more than the car by:

17000(0.84^5)-12000(0.89^5)

$408.73  (to the nearest cent)