A car is sold for $16,000. After one year, the value of the car is $12,000. Write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year.

The exponential function y to determine the value of the car after x years if the rate of decrease is the same each year is f (y) = y * (1 - 0.25) ^x

Explanation:

Selling price of car = $16000

Value of car after one year = $12000

Decrease of value in one year = ($16000 - $12000) / $16000

= 1/4

= 0.25

f (y) = y * (1 - 0.25) ^x

Therefore, The exponential function y to determine the value of the car after x years if the rate of decrease is the same each year is f (y) = y * (1 - 0.25) ^x