Question

The price of products may increase due to inflation and decrease due to depreciation. Marco 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. (5 points)

Answer 1

Answer:

hey

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Step-by-step explanation:

f(x) = 0.69 (1.03)^x

in other words TO THE POWER x

that would be 0.69 when x = 0 years, now

0.69 * 1.03 after one year

0.69 * 1.03 *1.03 after two years

0.69 *1.03*1.03*1.03 after 3 etc

It is getting bigger. Every year you increase by .03 x which is 3%