Autumn is thinking about buying a car. 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) 38,000 32,000 26,000
car 2 (value in dollars) 38,000 32,300 27,455

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 6 years. will there be any significant difference in the value of either car after 6 years? explain your answer, and show the value of each car after 6 years. (4 points)