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) = 10250(0.63)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) 4300 1849 795.07 341.88
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
dmezzullo
  • dmezzullo
Is this an exam?
anonymous
  • anonymous
no its the study guide

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anonymous
  • anonymous
could you help me?
kewlgeek555
  • kewlgeek555
Do you still need help?
anonymous
  • anonymous
yes
kewlgeek555
  • kewlgeek555
Okay, I am really sorry, but I have to eat. Though, I can explain this question perfectly to you. So, I'll be back in like 20 to 30 minutes - i hope thats okay.
anonymous
  • anonymous
that is totally fine im just studying had a question on this problem
kewlgeek555
  • kewlgeek555
I am back. Sorry for being three minutes late.
anonymous
  • anonymous
its ok haha
kewlgeek555
  • kewlgeek555
Okay, I shall help you now. Let me start:
kewlgeek555
  • kewlgeek555
When it doesn't say that "Kewlgeek555 is typing a reply..." it is because I am thinking or doing work. ;]
kewlgeek555
  • kewlgeek555
Part I: You know that this function is DECREASING because 0.63, the number inside of the parenthesis, is LESS THAN THE NUMBER 1. I [think I] know the way to determine by what percentage it is decreasing. [I think] My teacher taught me that I have to subtract the number, in this case 0.63, from 1. So, 1 - 0.63 = 0.37. So it is decreasing by 0.37. Part II: Wait, what are the directions asking you to do???
anonymous
  • anonymous
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
kewlgeek555
  • kewlgeek555
Okay, this is for the table in Part B, correct?
anonymous
  • anonymous
correct
kewlgeek555
  • kewlgeek555
And is this the table of Part B: |dw:1387393002341:dw| Is this correct? Also, I have to go do soemthing for my job, be back in like less than ten minutes, more than five minutes.
anonymous
  • anonymous
t (number of years) 1 2 3 4 f(t) (price in dollars) 4300 1849 795.07 341.88
kewlgeek555
  • kewlgeek555
I am back. I am still confused. Do you have a picture or something? But, now I think I understand A LITTLE. Is this correct?: |dw:1387394201440:dw|
anonymous
  • anonymous
yup
kewlgeek555
  • kewlgeek555
Okay. Then, I think it is year 1 - 2.
anonymous
  • anonymous
can you prove it?
kewlgeek555
  • kewlgeek555
Well, I subtracted years 1 - 2, 2 - 3, 3 - 4, and 1 - 2 was the greatest difference. I just didn't want to because what I said right there is a horrid "prove it" sentence. So, I can't really prove it.
kewlgeek555
  • kewlgeek555
NO, no. Actually, they are all changing by the same percentage: 43% less. And you can prove it by dividing year 2 to year 1 and dividing year 3 to year 2. Sorry for the inaccurate answer.
anonymous
  • anonymous
OOOOOOO I see
anonymous
  • anonymous
do you think you could help me with 1 more question?
anonymous
  • anonymous
Belinda wants to invest $1000. The table below shows the value of her investment under two different options for two different years. Number of years 1 2 3 Option 1 (amount in dollars) 1300 1690 2197 Option 2 (amount in dollars) 1300 1600 1900
anonymous
  • anonymous
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points) Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer and show the investment value after 20 years for each option. (4 points)
kewlgeek555
  • kewlgeek555
Where is Part A? Please tag me as several people are requesting help right now. D:
anonymous
  • anonymous
All i really need to know is the percentage of what option 1 is growing at
anonymous
  • anonymous
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)
anonymous
  • anonymous
i already did that part
kewlgeek555
  • kewlgeek555
Oh, oh, okay. Well, um. Hm...do you have the function equation? Or the value at year 0?
anonymous
  • anonymous
there is no year 0
kewlgeek555
  • kewlgeek555
Okay, so did you make a function?
anonymous
  • anonymous
I just need to know at what percentage option 1 changes at
anonymous
  • anonymous
Thats all I need to do
anonymous
  • anonymous
I can do the rest after that
kewlgeek555
  • kewlgeek555
This also seems to be a constant rate of growth. Year 2, 1690, is year 1 times 1.3. And year 3, 2197, is year 2 times 1.3. So, the rate of growth must be 130% of year 0, or in other words f(0) * 1.3.
kewlgeek555
  • kewlgeek555
I hope I'm not confusing.
anonymous
  • anonymous
what is the rate of chagne of option 1 as a percentage
kewlgeek555
  • kewlgeek555
Okay, I don't know now. My mind is like something else today. Let me call @jigglypuff314 @texaschic101 @agent0smith @terenzreignz for you.
jigglypuff314
  • jigglypuff314
I'm not too good at this either ;) http://www.ehow.com/how_8117999_exponential-equation-two-points.html I got that the equation for option 1 is d = 1000(1.3^n) if that helps...
anonymous
  • anonymous
I figured it out thank you guys :D
anonymous
  • anonymous
wht did you get cause i got the same problemand im so lost
Secret-Ninja
  • Secret-Ninja
Lies. This IS an exam. *smh*
anonymous
  • anonymous
The only way you would know that is by looking up the question during the test as well @Secret-Ninja
anonymous
  • anonymous
not really she could have seen this question and remembered on her test...right @secret-ninja

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