Wilson is thinking about buying a house for $249,000. the table below shows the projected value of two different houses for three years.

number of years 1 2 3
house 1 (value in dollars) 253,980 259,059.60 264,240.79
house 2 (value in dollars) 256,000 263,000 270,000

part a: what type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? explain your answer. (2 points)

part b: write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

part c: wilson wants to purchase a house that would have the greatest value in 45 years. will there be any significant difference in the value of either house after 45 years? explain your answer, and show the value of each house after 45 years. (4 points)