Dominique is thinking about buying a house. the table below shows the projected value of two different houses for three years.

house 1 (value in dollars) year 1: 286,000 year 2: 294,580 year 3: 303,417.40 house 2 (value in dollars) year 1: 286,000 year 2: 295,000 year 3: 304,000

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.

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

part c: dominique wants to purchase a house that would have the greatest value in 25 years. will there be any significant difference in the value of either house after 25 years? explain your answer, and show the value of each house after 25 years.