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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) (10 points) |
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Answer» Part A: increasing by 82%Part B: Product A recorded a greater PERCENTAGE change in price over PREVIOUS year.Step-by-step explanation:percentage can be calculated by formula as:% change = [(price on year 2- price on year 1)/price on year1] ×100so Product A changes by 82% and B by -44% |
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