Summer is thinking about buying a car for $45,000. 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) 40500, 36450, 32805
car 2 (value in dollars) 42000, 39000, 36000

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: summer wants to purchase a car that would have the greatest value in 13 years. will there be any significant difference in the value of either car after 13 years? explain your answer, and show the value of each car after 13 years. (4 points)