Question

Can I get some help with this 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.

Part B: The table below shows the price f(t), in dollars, of product B after t years:

Answer 1

Graph for Part B

Answer 2

For Part A I said: "The price of product A is decreasing because the number inside the pretenses of the function is less than 1. It is decreasing by 37%"

Answer 3

Looks good to me.

Answer 4

Alright, now I'm just stuck at Part B

Answer 5

What's the question?

Answer 6

Oh oops here it is, its for Part B: Which product recorded a greater percentage change in price over the previous year? Justify your answer.

Answer 7

To get the common ratio for Part B, divide the price from any year by the price 1 year EARLIER. What do you get?

Answer 8

Do i have to use f(b)-f(a)/b-a?

Answer 9

If I just divide the year by the year earlier I got .43

Answer 10

Great. Now in Part A, this ratio was 0.63. So which one has the greatest percentage change? Remember, A changes by 1-0.63 = 37%

Answer 11

B has a greater percent change because 1-0.43=57%

Answer 12

So B recorded a greater percent change in price over the previous year

Answer 13

Well done. Congrats.

Answer 14

Yay all thanks to you!