Autumn is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three years. Number of years 1 2 3 Car 1 (value in dollars) 32,000 26,000 20,000

Autumn is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three years. Number of years 1 2 3 Car 1 (value in dollars) 32,000 26,000 20,000 Car 2 (value in dollars) 32,300 27,455 23,336.75 Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points) Part C: Autumn wants to purchase a car that would have the greatest value in 5 years. Will there be any significant difference in the value of either car after 5 years? Explain your answer, and show the value of each car after 5 years. (4 points)