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) = 72(1.25)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 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) 65 84.5 109.85 142.81

Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Question

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) = 72(1.25)x  Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 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)	65	84.5	109.85	142.81

Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)