PLEASEE HELP ME! IF I DON'T GET THIS DONE I WILL FAIL! PLEASEEE HELP! 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(0.82)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) 5600 3136 1756.16 983.45 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Part A: f(x) = 12500(0.82)^x. Because the rate of change is 0.82 which is less the 1, the price of product A is decreasing by 1 - 0.82 = 0.18 = 18%. For product B, the rate of change is 1 - 3136 / 5600 = 1 - 0.56 = 0.44 = 44%. Therefore, Product B recorded the greatest percentage change over the previous year.Hope this helps. Let me know if you need additional help!