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anonymous

  • one year ago

Please help! Just need help on Part B.

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  1. anonymous
    • one year ago
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    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)

  2. anonymous
    • one year ago
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    I just need help on Part B.

  3. anonymous
    • one year ago
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    @Vocaloid

  4. anonymous
    • one year ago
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    @Mehek14

  5. anonymous
    • one year ago
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    Help!

  6. anonymous
    • one year ago
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    I am here

  7. Flvs.net
    • one year ago
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    I'll help you.

  8. SolomonZelman
    • one year ago
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    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 ... ?

  9. SolomonZelman
    • one year ago
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    they follow a pattern of multiplying times what number?

  10. Flvs.net
    • one year ago
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    Nevermind he has gotten 3000 medals he will prob. help you better.

  11. SolomonZelman
    • one year ago
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    i got more than 3 times as many medals, but i don't think medals decide anything.....

  12. SolomonZelman
    • one year ago
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    Anyway, have you found this number that I asked for?

  13. anonymous
    • one year ago
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    I am working on it

  14. anonymous
    • one year ago
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    my internet is not working good

  15. anonymous
    • one year ago
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    1.5?

  16. SolomonZelman
    • one year ago
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    no, but close

  17. SolomonZelman
    • one year ago
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    it is 1.3

  18. anonymous
    • one year ago
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    OH okay.

  19. SolomonZelman
    • one year ago
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    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).

  20. anonymous
    • one year ago
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    r=1.3?

  21. anonymous
    • one year ago
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    is that the answer for part B?

  22. SolomonZelman
    • one year ago
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    no, don't worry about that. r=1.3 is related to geometric sequence, and I can explain that later, and that is option....

  23. SolomonZelman
    • one year ago
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    but, anyhow, you multiply times 1.3 everytime. Got that?

  24. SolomonZelman
    • one year ago
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    (this is by product B)

  25. anonymous
    • one year ago
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    OK

  26. SolomonZelman
    • one year ago
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    GOod

  27. SolomonZelman
    • one year ago
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    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?

  28. SolomonZelman
    • one year ago
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    (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.

  29. SolomonZelman
    • one year ago
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    if you need more help with this problem, then let me know.

  30. anonymous
    • one year ago
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    ok :)

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