Question

MEDAL
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

Answer 1

@Thehulk49

Answer 2

Hold on

Answer 3

k

Answer 4

You know it is increasing right?

Answer 5

no

Answer 6

Well it is increasing because so 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

Answer 7

ohhh ok now I understand

Answer 8

I knew you could do it.

Answer 9

thx and what is the percentage and part b @Thehulk49

Answer 10

Hold on lemme do my math

Answer 11

Here you go

okay I assume the x is smaller and higher then the brackets meaning 0.82 to the power of.
this means that the price is going down by 18% each year. you can see this because 12500 is the original price and x is the number of years therefore 0.82 Is the percentage price retained at the end of each year. 1-0.82 gets you 0.18 or 18% which is the change.

the percentage decrease each year of b is 44% (found by doing one minus the first years price divide by the second years price) therefore I can determine that the price decrease faster on B

Answer 12

thx so much

Answer 13

Welcome. Did you understand it?