The function f(x)=15000(0.96)^x represents the value in dollars of a vehicle x years after it has been purchased new. what is the average decrease in value per year between years 5 and 10? show all work!

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:


Value of the car after 10 years will be:


The decrease in the value of car will be:


Average decrease in the value of car will be:


Thus, on average the value of car decreases by $451.62 between year 5 and 10.