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.

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.

Question

Mathematics

Kayden Lucas

9 October, 19:27

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.

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.

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Answers (1)

Know the Answer?

Jamiya Hogan · Answer 1

Ok so for the first part we have to say that the answer is that it will be increasing by 25% per year because the base of 1.25 is 0.25 greater than 1. Now the part b we can say that They all experienced the same percentage change of 30%. I hope this is what you were looking for