Please help!
Just need help on Part B.

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- anonymous

Please help!
Just need help on Part B.

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

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- anonymous

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) = 72(1.25)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) 65 84.5 109.85 142.81
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

- anonymous

I just need help on Part B.

- anonymous

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## More answers

- anonymous

- anonymous

Help!

- anonymous

I am here

- Flvs.net

I'll help you.

- SolomonZelman

if you try to test the terms in this table,
that is:
\(\large\color{black}{ \displaystyle 84.5\div 65 =?}\)
\(\large\color{black}{ \displaystyle 109.85\div 84.5 =?}\)
and on, then you can tell that these terms have acommon ratio of ... ?

- SolomonZelman

they follow a pattern of multiplying times what number?

- Flvs.net

Nevermind he has gotten 3000 medals he will prob. help you better.

- SolomonZelman

i got more than 3 times as many medals, but i don't think medals decide anything.....

- SolomonZelman

Anyway, have you found this number that I asked for?

- anonymous

I am working on it

- anonymous

my internet is not working good

- anonymous

1.5?

- SolomonZelman

no, but close

- SolomonZelman

it is 1.3

- anonymous

OH okay.

- SolomonZelman

Every term is being multiplied times 1.3
and thus it is a geometric sequence with r=1.3 or an exponential function with a base 1.3 (the same exact thing).

- anonymous

r=1.3?

- anonymous

is that the answer for part B?

- SolomonZelman

no, don't worry about that. r=1.3 is related to geometric sequence, and I can explain that later, and that is option....

- SolomonZelman

but, anyhow, you multiply times 1.3 everytime. Got that?

- SolomonZelman

(this is by product B)

- anonymous

OK

- SolomonZelman

GOod

- SolomonZelman

So product B is multiplied times 1.3
and product A (based on its function \(f(x)=72(1.25)^x\)) you can tell that it is multiplied times 1.25 every time.
right?

- SolomonZelman

(PRODUCT B)
ok, so multiplying times 1.3 is just same as taking 130% of the previous value.
And that means that you are increasing by 30% each year.
(PRODUCT A)
and multiplying times 1.25, is just same as taking 125% of the previous value.
That means that you are increasing by 25% each year.

- SolomonZelman

if you need more help with this problem, then let me know.

- anonymous

ok :)

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