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.

Respuesta :

Answer:

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