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.

Part A -The price of Product A is increasing; it is increasing by 25% per year. It is clear it is increasing because if the interest amount and the product of the rate and time sum up to be above 1, then it is increasing. 

Part B- I am unsure on this one, so I am not going to guarantee it is right. But, I think Product B recorded a greater percentage change in price over the previous year because the price for Year 2 is $19.50 higher than Year 1; the price for Year 3 is is $23.35 higher than Year 2; the price for Year 4 is $32.96 higher than Year 3. As you can see, the amount the price goes up by increases every year, unlike Product A, which increases at a consistent 25% per year.

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