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anonymous

  • one year ago

FAN AND MEDAL The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company: graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120 Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @triciaal yayy!!

  3. anonymous
    • one year ago
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    do you know how to do this?

  4. triciaal
    • one year ago
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    the x-intercept means y = 0 f(x) = 0 f(x) = profit maximum value = highest y value = highest profit

  5. anonymous
    • one year ago
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    so x-intercept means theres 0 profit?

  6. triciaal
    • one year ago
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    vertex is at 3, 120 so when x = 3 y = 120 3 pens maximum profit $120

  7. triciaal
    • one year ago
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    yes

  8. anonymous
    • one year ago
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    ok and what about the increasing intervals?

  9. triciaal
    • one year ago
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    question is asking how does y change as x changes

  10. anonymous
    • one year ago
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    the more pens sold the higher the profit?

  11. anonymous
    • one year ago
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    but aren't they asking for the intervals where the function is increasing and decreasing

  12. triciaal
    • one year ago
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    up to the limit of 3 maximum so x 0 to 3 increase

  13. triciaal
    • one year ago
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    x more than 3 profit decrease

  14. anonymous
    • one year ago
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    x more than 3 profit decrease ?

  15. triciaal
    • one year ago
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    look at the graph

  16. anonymous
    • one year ago
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    ohh ok

  17. anonymous
    • one year ago
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    now part B

  18. anonymous
    • one year ago
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    wait but what does the sale an profit represent when it increases and decreases

  19. triciaal
    • one year ago
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    change in y divided by change in x f(5) - f(3) divided by (5-3)

  20. anonymous
    • one year ago
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    but what does the sale an profit represent when it increases and decreases

  21. anonymous
    • one year ago
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    nvm that

  22. anonymous
    • one year ago
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    but last question

  23. anonymous
    • one year ago
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    what is the equation for the graph?

  24. anonymous
    • one year ago
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    @triciaal ?

  25. triciaal
    • one year ago
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    yes you tell me

  26. anonymous
    • one year ago
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    i don't know how to make an equation for it

  27. triciaal
    • one year ago
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    |dw:1439405938151:dw|

  28. anonymous
    • one year ago
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    ohh ok one second

  29. triciaal
    • one year ago
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    |dw:1439405998517:dw|

  30. anonymous
    • one year ago
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    f(x)=(x-3)^2+120?

  31. triciaal
    • one year ago
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    |dw:1439406035909:dw|

  32. anonymous
    • one year ago
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    how do i find a?

  33. anonymous
    • one year ago
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    @triciaal how do i find a??

  34. anonymous
    • one year ago
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    @ganeshie8 can u plz help

  35. anonymous
    • one year ago
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    @welshfella

  36. anonymous
    • one year ago
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    all i need is the equation and i don't know how to get to it @welshfella

  37. welshfella
    • one year ago
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    equation for the graph can be written as f(x) = a(x - 3)^2 + 120 because the vertex is at (3,120) and a is a constant to be found

  38. anonymous
    • one year ago
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    yes i did that too but i don't know ow to find a

  39. triciaal
    • one year ago
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    |dw:1439406519835:dw|

  40. anonymous
    • one year ago
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    f(x)=(x-0)(x-6)=0 is the equation?

  41. anonymous
    • one year ago
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    ?

  42. anonymous
    • one year ago
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    hello

  43. welshfella
    • one year ago
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    the zeroes of the equation are x=0 and x = 6 so we can plug these into f(x) = a(x -3)^2 + 120 0 = (-3)^2 a + 120

  44. anonymous
    • one year ago
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    i don't need the zeroes though, i only need the equation itself and thats it

  45. anonymous
    • one year ago
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    f(x)=(x-3)^2+120 is this the equation

  46. welshfella
    • one year ago
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    well if you find the value of a you'll get the equation

  47. welshfella
    • one year ago
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    no - you need to find a

  48. anonymous
    • one year ago
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    AHH whats a?!?!?

  49. welshfella
    • one year ago
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    0 = 9 a + 120 a = ?

  50. anonymous
    • one year ago
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    -13.33?

  51. welshfella
    • one year ago
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    f(x) = a(x -3)^2 + 120

  52. welshfella
    • one year ago
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    yea so we have f(x) -13.333(x - 3)^2 + 120

  53. anonymous
    • one year ago
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    ok thank you so much!!!!

  54. welshfella
    • one year ago
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    yw

  55. anonymous
    • one year ago
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    @welshfella can u give @triciaal a medal for me

  56. welshfella
    • one year ago
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    ok

  57. anonymous
    • one year ago
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    thanks! @welshfella

  58. triciaal
    • one year ago
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    you are welcome

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