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anonymous

  • one year ago

Can I get some help with this question: 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. Part B: The table below shows the price f(t), in dollars, of product B after t years:

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  1. anonymous
    • one year ago
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    Graph for Part B

  2. anonymous
    • one year ago
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    For Part A I said: "The price of product A is decreasing because the number inside the pretenses of the function is less than 1. It is decreasing by 37%"

  3. anonymous
    • one year ago
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    Looks good to me.

  4. anonymous
    • one year ago
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    Alright, now I'm just stuck at Part B

  5. anonymous
    • one year ago
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    What's the question?

  6. anonymous
    • one year ago
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    Oh oops here it is, its for Part B: Which product recorded a greater percentage change in price over the previous year? Justify your answer.

  7. anonymous
    • one year ago
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    To get the common ratio for Part B, divide the price from any year by the price 1 year EARLIER. What do you get?

  8. anonymous
    • one year ago
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    Do i have to use f(b)-f(a)/b-a?

  9. anonymous
    • one year ago
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    If I just divide the year by the year earlier I got .43

  10. anonymous
    • one year ago
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    Great. Now in Part A, this ratio was 0.63. So which one has the greatest percentage change? Remember, A changes by 1-0.63 = 37%

  11. anonymous
    • one year ago
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    B has a greater percent change because 1-0.43=57%

  12. anonymous
    • one year ago
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    So B recorded a greater percent change in price over the previous year

  13. anonymous
    • one year ago
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    Well done. Congrats.

  14. anonymous
    • one year ago
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    Yay all thanks to you!

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