First we need to find the value of car after 5 years and after 10 years.
Value of the car after 5 years will be:
[tex]f(5)=15000 (0.96)^{5}=12230.59 [/tex]
Value of the car after 10 years will be:
[tex]f(10)=15000 (0.96)^{10}=9972.49 [/tex]
The decrease in the value of car will be:
[tex]f(5)-f(10)=2258.10
[/tex]
Average decrease in the value of car will be:
[tex] \frac{2258.10}{10-5}=451.62 [/tex]
Thus, on average the value of car decreases by $451.62 between year 5 and 10.
