5) A new car that costs $25,000 depreciates to 80% of its value in 3 years. a.) Assume that the depreciation is linear. What is the linear function that models the value of this car t years after purchase? b.) Assume that the value of the car is given by an exponential function A(t) = A e , where A is the initial price of the car. Find the value of the constant k. c.) For the linear model used in part (a), find the value of the car 5 years after purchase, then do the same for the exponential model used in part (b). d.) If possible, graph both models using a graphing utility. Which model do you think is more realistic and why