Question

The dollar value v(1) of a certain car model that is / years old is given by the following exponential function.

v (1) = 27,500 (0.76)'
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.

Initial value:
Value after 11 years:

Answer 1

Initial value: 27,500 dollars

Value after 11 years: 7,481 dollars

Explanation:

The initial value of the car is the value when it is zero years old. Plugging in x=0 in the equation, we get:

v(0) = 27,500(0.76)^0 = 27,500(1) = 27,500 dollars.

To find the value after 11 years, we plug in x=11 in the equation:

v(11) = 27,500(0.76)^11 = 7,481 dollars (rounded to the nearest dollar).