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anonymous

  • one year ago

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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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    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

  3. anonymous
    • one year ago
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    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

  4. anonymous
    • one year ago
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    @chrisga

  5. anonymous
    • one year ago
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    @campbell_st please help me! here nobody wanna help me! please help me

  6. campbell_st
    • one year ago
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    the function f(x) is like the compound interest formula it could be written as \[f(x) = 72 \times (1 + \frac{25}{100})^x\] the compound interest formula is \[A = P \times (1 + \frac{r}{100})^n\] where r is the growth rate as a percentage so when you compare it to your eqquation what do you think the growth rate r is..?

  7. anonymous
    • one year ago
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    i need to solve that ?

  8. anonymous
    • one year ago
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    90?

  9. campbell_st
    • one year ago
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    so for part A you can write (1.25) as (1 + 0.25) the + inside the brackets indicates its increasing and the amount of the increase is 0.25 written as a percentage

  10. anonymous
    • one year ago
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    so the answer for part A: ITS the + inside the brackets indicates its increasing and the amount of the increase is 0.25 written as a percentage

  11. anonymous
    • one year ago
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    ?

  12. anonymous
    • one year ago
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    and for part B?

  13. campbell_st
    • one year ago
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    part B find use the 1st 2 values \[%~increase = \frac{84.5 - 65}{65} \times 100\] then decide which percentage increase is greater... Product A (25%) or product B

  14. campbell_st
    • one year ago
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    the formula is \[increase = \frac{84.5 - 65}{65} \times 100\]

  15. anonymous
    • one year ago
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    -15.5?

  16. campbell_st
    • one year ago
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    well it should be a positive \[increase = \frac{19.5}{65} \times 100\]

  17. anonymous
    • one year ago
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    30?

  18. campbell_st
    • one year ago
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    that makes sense so whch has the larger increase product A (25%) or product b (30%)

  19. anonymous
    • one year ago
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    product b?

  20. campbell_st
    • one year ago
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    yes jobe done

  21. anonymous
    • one year ago
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    so the answer for part B: ITS: PRODUCT B HAS THE LARGER INCREASE?

  22. anonymous
    • one year ago
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    right?

  23. campbell_st
    • one year ago
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    correct

  24. anonymous
    • one year ago
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    thank you so much!!!! can you help me with 2 more or one more please!!!

  25. campbell_st
    • one year ago
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    sorry I can't I'm in Australia and about to go to class

  26. anonymous
    • one year ago
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    alright its fine, thanks again!

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