Baxter 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): 18,500 17,390 16,346.60
car 2 (value in dollars): 18,500 17,500 16,500

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.

part b: write one function for each car to describe the value of the car f(x), in dollars, after x years.

part c: baxter wants to purchase a car that would have the greatest value in 10 years. will there be any significant difference in the value of either car after 10 years? explain your answer, and show the value of each car after 10 years.