The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 12500(0.91)* Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (4 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:

t (number of years) 1 2 3 4
f(t) (price in dollars) 12500 11500 10500 9500

Is Product B decreasing linearly or exponentially? Justify your answer. (3 points)

Part C: Which product will have the greater price 7 years from now. Justify your answer (3 points)