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) = 0.69(1.03)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) |10,100 | 10,201 | 10,303.01 | 10,406.04 |


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