Question

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) = 10250(0.63)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer

Answer 1

For product a: 12500(0.82) times year 2 would be 12500(0.82)^2 would be 12500(1.62)=20,250 so therefore it would be increasing

Product a has the highest percentage

Answer 2

Is the x in f(x) really multiplied to the rest, or is it an exponent of 0.63?

Answer 3

Obviously it is increasing. If we take the function written as is, then f(x) = 10250(0.63)x will be a linear function. Since the coefficient of x is positive, then the function will be increasing.

Answer 4

thanks !