anonymous
  • anonymous
Please help! Just need help on Part B.
Mathematics
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anonymous
  • anonymous
Please help! Just need help on Part B.
Mathematics
jamiebookeater
  • 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
  • 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
  • anonymous
I just need help on Part B.
anonymous
  • anonymous

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anonymous
  • anonymous
anonymous
  • anonymous
Help!
anonymous
  • anonymous
I am here
Flvs.net
  • Flvs.net
I'll help you.
SolomonZelman
  • 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
  • SolomonZelman
they follow a pattern of multiplying times what number?
Flvs.net
  • Flvs.net
Nevermind he has gotten 3000 medals he will prob. help you better.
SolomonZelman
  • SolomonZelman
i got more than 3 times as many medals, but i don't think medals decide anything.....
SolomonZelman
  • SolomonZelman
Anyway, have you found this number that I asked for?
anonymous
  • anonymous
I am working on it
anonymous
  • anonymous
my internet is not working good
anonymous
  • anonymous
1.5?
SolomonZelman
  • SolomonZelman
no, but close
SolomonZelman
  • SolomonZelman
it is 1.3
anonymous
  • anonymous
OH okay.
SolomonZelman
  • 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
  • anonymous
r=1.3?
anonymous
  • anonymous
is that the answer for part B?
SolomonZelman
  • 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
  • SolomonZelman
but, anyhow, you multiply times 1.3 everytime. Got that?
SolomonZelman
  • SolomonZelman
(this is by product B)
anonymous
  • anonymous
OK
SolomonZelman
  • SolomonZelman
GOod
SolomonZelman
  • 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
  • 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
  • SolomonZelman
if you need more help with this problem, then let me know.
anonymous
  • anonymous
ok :)

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