The value of a certain automobile purchased in 1997 can be approximated by the function V(t) = 22(0.85)^t , where t is the time, in years, from the date of purchase, and V(t) is the value, in thousands of dollars.
(a) Evaluate and interpret. v(4)
Round your answer to three decimal places.
v(4) = ________ thousands of dollars
(b) Find the exact expression for v ' (t)
v ' (t) =
(c) Evaluate and interpret v ' (4). Round your answer to three decimal places.
v ' (4) = ________ thousands of dollars per year.
v ' 4 is (three choices: the rate at which the value of the car is decreasing at the end of the 4th year, the amount by which the value of the car has decreased after 4 years, the value of the car after 4 years)