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. (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) 5600 3136 1756.16 983.45

Answer 1

can you help please

Answer 2

^_^ im doing that test right now

Answer 3

really do you have any idea how to solve it

Answer 4

if you dont we can work together to solve it

Answer 5

12500(0.82)=10250

Answer 6

is that for part b

Answer 7

so it is decreasing by 2250 its part a

Answer 8

oh ok

Answer 9

so for part b i have to find rate of change to find out the greatest percentage

Answer 10

im not so sure how to do that part

Answer 11

ok we can work on it together

Answer 12

are u ninth

Answer 13

yes

Answer 14

so i think we have to find the rate of change

Answer 15

i think its product b that has the highest percent of change because for product a its 2550

Answer 16

yes, so we have to plug it in.

Answer 17

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 18

okay

Answer 19

so product a has the highest percentage

Answer 20

@melancholymushroom

did you get this correct?

Answer 21

Did you guys get this right?

Answer 22

Why does everybody think a number less than 1 would multiply and become bigger?

Answer 23

I have no clue, but its the oppisite :( any1 know the correct answer? @IrishBoy123

Answer 24

both these are falling in price

Answer 25

and it seems to me that in order to do a comparison you need to replicate the table for product

ie this table you have for B . do it also for A

t (number of years) 1 2 3 4
f(t) (price in dollars) 5600 3136 1756.16 983.45

Answer 26

and then calculate the YoY drop in price

so for Y 1 -> 2 for B
\(\large \frac{3136-5600}{5600} \approx -44\% \)