Question

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Answer 1

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) = 12500(0.82)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) 5600 3136 1756.16 983.45


Which product recorded a greater percentage change in price over the previous year? Justify your answer.

Answer 2

Part A:
This function is decreasing because 0.82, the number inside of the parenthesis, is less than 1. 1 - 0.82 = 0.18.
So it is decreasing by 18%
Part B???

Answer 3

@Itati98

Answer 4

Since you know part A, you now have to calculate how much B drops in price. So that would be (3136-5600)/5600x 100%

Answer 5

how do you do that?

Answer 6

what is 3136-5600 equal to?

Answer 7

-2464

Answer 8

now divide that by 5600 to get what?

Answer 9

-0.44

Answer 10

Yes so product B drops faster than product A

Answer 11

this means going from 5600 to 3136 is a decrease of 44%

Answer 12

ok so B has a greater and faster decrease

Answer 13

44% of 5600 = 0.44*5600 = 2464

5600 - 2464 = 3136

Answer 14

Yes

Answer 15

thanks so much

Answer 16

Part B
(3136-5600)/5600=
-.44 = 44% decreasing.
Product B has a greater percentage change in price over the previous year because is decreased by 44% and product A only decreases by 18%