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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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    @jim_thompson5910 ???

  3. Kash_TheSmartGuy
    • one year ago
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    About A. If you're multiplying two positive numbers, what do you think you're doing- increasing or decreasing?

  4. anonymous
    • one year ago
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    INCREASING/?

  5. anonymous
    • one year ago
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    @Kash_TheSmartGuy ???

  6. anonymous
    • one year ago
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    @jim_thompson5910 ???can you help me? please

  7. anonymous
    • one year ago
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    i really need help,guyss

  8. ali2x2
    • one year ago
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    Your increasing because when you multiply 2 positive numbers you increase

  9. ali2x2
    • one year ago
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    |dw:1437183261078:dw|

  10. ali2x2
    • one year ago
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    You increased when multiplying 2x2. Mai name is the answar

  11. anonymous
    • one year ago
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    @Michele_Laino @Vocaloid ???

  12. Vocaloid
    • one year ago
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    the general form of a growth/decay exponential function is f(x) = a(r)^x our function is f(x) = 72(1.25)^x can you tell me what r = ?

  13. anonymous
    • one year ago
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    i dont know, :(

  14. Vocaloid
    • one year ago
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    f(x) = a(r)^x f(x) = 72(1.25)^x r = ?

  15. anonymous
    • one year ago
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    90?

  16. Vocaloid
    • one year ago
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    |dw:1437183987216:dw|

  17. Vocaloid
    • one year ago
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    |dw:1437184021635:dw|

  18. Vocaloid
    • one year ago
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    look at the underlined parts can you tell me what r = ?

  19. anonymous
    • one year ago
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    1.25?

  20. Vocaloid
    • one year ago
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    right, r = 1.25 the value of r tells us whether the function is increasing or decreasing if r > 1, our function is increasing if r < 1, our function is decreasing is our function increasing or decreasing?

  21. anonymous
    • one year ago
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    increasing?

  22. Vocaloid
    • one year ago
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    right, increasing now we need to find the percentage if r = 1.25 = 1 + (percentage/100), what is our percentage?

  23. anonymous
    • one year ago
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    |dw:1437184167487:dw|

  24. anonymous
    • one year ago
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    r = 1.25 = 1? @Vocaloid

  25. anonymous
    • one year ago
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    i dont know @Vocaloid :(

  26. anonymous
    • one year ago
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    |dw:1437184385353:dw|

  27. Vocaloid
    • one year ago
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    not quite, perhaps we work it out a bit differently 1.25 = 1 + __ fill in the blank

  28. anonymous
    • one year ago
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    this its what i get 1.25

  29. Vocaloid
    • one year ago
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    not quite what number do I have to add to 1 to get 1.25?

  30. anonymous
    • one year ago
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    |dw:1437184481903:dw|

  31. anonymous
    • one year ago
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    |dw:1437184579597:dw|

  32. anonymous
    • one year ago
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    72(1.25)? sorry but im not good at math @Vocaloid :(

  33. anonymous
    • one year ago
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    wat

  34. Vocaloid
    • one year ago
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    1.25 - 1 = ?

  35. anonymous
    • one year ago
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    0.25?

  36. Vocaloid
    • one year ago
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    right, 0.25 is the number I was trying to get at earlier, haha 0.25 (which is also equal to 25%) represents the percent increase per year

  37. Vocaloid
    • one year ago
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    so we're finished with part A, ready to move to part B?

  38. anonymous
    • one year ago
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    so wait the answer for part A? its

  39. anonymous
    • one year ago
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    0.25 (which is also equal to 25%) represents the percent increase per year?

  40. Vocaloid
    • one year ago
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    please read what part A is asking and review what we have done so far

  41. Vocaloid
    • one year ago
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    "Part A: is the price of product A increasing or decreasing and by what percentage per year?"

  42. anonymous
    • one year ago
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    increasing? right?

  43. Vocaloid
    • one year ago
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    right, and what percentage?

  44. anonymous
    • one year ago
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    25%? right?

  45. Vocaloid
    • one year ago
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    right now are you ready to move to part B?

  46. anonymous
    • one year ago
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    yes

  47. Vocaloid
    • one year ago
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    alright, to find the percent increase for part B, we need to calculate the ratio f(2)/f(1) looking at the table, we know that f(2) = 84.5 f(1) = 64 f(2)/f(1) = ?

  48. anonymous
    • one year ago
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    its 2?

  49. anonymous
    • one year ago
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    o no wait

  50. anonymous
    • one year ago
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    o yes its 2? right?

  51. Vocaloid
    • one year ago
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    |dw:1437185687149:dw| try one more time

  52. anonymous
    • one year ago
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    its 1.32?

  53. Vocaloid
    • one year ago
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    oh, whoops, typo on my part |dw:1437185910222:dw|

  54. Vocaloid
    • one year ago
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    can you try again, using 65 instead of 64?

  55. anonymous
    • one year ago
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    65/64? thats what u say?

  56. Vocaloid
    • one year ago
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    that's not what I meant, please look at this diagram |dw:1437186028756:dw|

  57. anonymous
    • one year ago
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    1.3? :/

  58. Vocaloid
    • one year ago
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    right! this gives our r value, 1.3 so, r = 1.3 now we need to find the percent increase 1.3 = 1 + (increase) what is the value of (increase)?

  59. anonymous
    • one year ago
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    its 0.3?

  60. Vocaloid
    • one year ago
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    yes! so, our increase is 0.3, which is the same as 30%

  61. anonymous
    • one year ago
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    its that a question?

  62. Vocaloid
    • one year ago
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    we need it to solve the last question

  63. Vocaloid
    • one year ago
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    we found the percent increase for product A and product B, now tell me which one is bigger

  64. anonymous
    • one year ago
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    1.3? right? @Vocaloid ?

  65. Vocaloid
    • one year ago
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    right

  66. anonymous
    • one year ago
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    so whats nexts?

  67. Vocaloid
    • one year ago
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    which product had the bigger increase? A or B?

  68. anonymous
    • one year ago
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    A?

  69. Vocaloid
    • one year ago
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    please read over what we did carefully...

  70. Vocaloid
    • one year ago
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    also, please read the problem again

  71. anonymous
    • one year ago
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    O sorry my bad

  72. anonymous
    • one year ago
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    its B SORRY

  73. Vocaloid
    • one year ago
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    right

  74. anonymous
    • one year ago
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    SO we done?

  75. Vocaloid
    • one year ago
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    yes

  76. anonymous
    • one year ago
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    for make sure i writte correct the answer its:

  77. anonymous
    • one year ago
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    Part A: the price of product is increasing 25%Part Part B: 1.3

  78. anonymous
    • one year ago
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    i writte correct

  79. Vocaloid
    • one year ago
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    ... please read what part B is asking

  80. Vocaloid
    • one year ago
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    "Part B: Which product recorded a greater percent change in price over the previous year?"

  81. anonymous
    • one year ago
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    B? 0.3? :/

  82. Vocaloid
    • one year ago
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    it's asking which product (product A or product B) had the greater percent change

  83. anonymous
    • one year ago
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    ITS product B? RIGHT

  84. Vocaloid
    • one year ago
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    right

  85. anonymous
    • one year ago
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    SO thats the answer for part B

  86. Vocaloid
    • one year ago
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    right

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