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anonymous

  • one year ago

A shop at the mall sells gadgets. The scatter plot shows the total number of customers and the remaining gadgets throughout the day. (a) What is the association between the remaining gadgets and the total number of customers? (b) Use the two data points closest to the line, (20,24) and (36,4), to write an equation for the line. Write the equation in slope-intercept form. (c) According to the equation, for each additional customer, what happens to the total remaining gadgets? (d) According to the equation, predict the remaining gadgets when there are 32 total customers.

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  1. anonymous
    • one year ago
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  2. dan815
    • one year ago
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    do you have answers for any of them yet

  3. anonymous
    • one year ago
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    nope :(

  4. dan815
    • one year ago
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    okay can you see these points look like they are part of a line

  5. dan815
    • one year ago
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    |dw:1436824669630:dw|

  6. anonymous
    • one year ago
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    Yup

  7. dan815
    • one year ago
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    as you get more customer you have less and less hadgets

  8. dan815
    • one year ago
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    gadgets

  9. anonymous
    • one year ago
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    okay

  10. dan815
    • one year ago
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    so that is a

  11. dan815
    • one year ago
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    it means remaining gadgets is directly proportional to the number of customers

  12. anonymous
    • one year ago
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    Okay :)

  13. dan815
    • one year ago
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    xD

  14. anonymous
    • one year ago
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    and b?

  15. dan815
    • one year ago
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    use those 2 points to find the slope

  16. anonymous
    • one year ago
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    should start another one so you can get more medals?

  17. anonymous
    • one year ago
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    I*

  18. dan815
    • one year ago
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    slope is given by change in height per change in horizontal distance

  19. dan815
    • one year ago
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    change in height is change in y coordinates change in horizontal distance is change in x coordinates

  20. dan815
    • one year ago
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    slope tells you height change for every horizontal distance change

  21. dan815
    • one year ago
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    (20,24) and (36,4) can you do the work from here?

  22. anonymous
    • one year ago
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    i don't think so haha :(

  23. dan815
    • one year ago
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    you have 2 points, given in (x,y) form

  24. anonymous
    • one year ago
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    okay

  25. dan815
    • one year ago
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    wht are the y coodinates of eahc point

  26. anonymous
    • one year ago
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    24 and 4

  27. dan815
    • one year ago
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    okay so what is the change in y?

  28. anonymous
    • one year ago
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    20?

  29. dan815
    • one year ago
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    okay well -20 we went lower so

  30. anonymous
    • one year ago
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    oh ok

  31. dan815
    • one year ago
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    what about the change in x coordiantes now

  32. anonymous
    • one year ago
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    20 and 36 so -16

  33. dan815
    • one year ago
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    well this time we went up so 16

  34. anonymous
    • one year ago
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    oh :)

  35. dan815
    • one year ago
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    so what is the slope

  36. dan815
    • one year ago
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    -20 for y and 16 for x changes

  37. dan815
    • one year ago
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    how much y are we changing for every x?

  38. anonymous
    • one year ago
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    umm

  39. anonymous
    • one year ago
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    y=mx+b

  40. anonymous
    • one year ago
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    what would m be?

  41. anonymous
    • one year ago
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    @dan815

  42. anonymous
    • one year ago
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    are you there? ^-^

  43. anonymous
    • one year ago
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    m is the slope! :)

  44. anonymous
    • one year ago
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    so -20=m(16)+b ?

  45. anonymous
    • one year ago
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    Not exactly

  46. anonymous
    • one year ago
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    Are you trying to solve for b) right now?

  47. anonymous
    • one year ago
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    I am just going to walk you through it step by step.

  48. anonymous
    • one year ago
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    First, we need to find the slope of the line.|dw:1436826415876:dw|

  49. anonymous
    • one year ago
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    |dw:1436826505071:dw|

  50. anonymous
    • one year ago
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    Your m value is -5/4

  51. anonymous
    • one year ago
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    Next, we need to find the b value, or your x-intersect. (the place where the line crosses the x-axis)

  52. anonymous
    • one year ago
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    |dw:1436826647783:dw|

  53. anonymous
    • one year ago
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    Next, distribute the -5/4 to the terms in the parenthesis. |dw:1436826872444:dw|

  54. anonymous
    • one year ago
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    add 24 to the 25|dw:1436826936685:dw|

  55. anonymous
    • one year ago
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    you will get:|dw:1436826976176:dw| which is the answer to b)

  56. anonymous
    • one year ago
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    Oh Okay! Thanks! What about C?

  57. anonymous
    • one year ago
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    Give me one second to refresh myself on this problem! :)

  58. anonymous
    • one year ago
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    For C, we will mainly be looking at the slope of the equation. The slope is -5/4. This means that for every 4 customers there are, the number of gadgets available goes down by 5.|dw:1436891744808:dw|

  59. anonymous
    • one year ago
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    C does say for EACH additional customer, so you will have to figure out how many gadgets are gone when one customer attends the store.

  60. anonymous
    • one year ago
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    To find that out, you would take the 5 and divide it by four. You would get 1.25. That is the number of gadgets each customer individually would purchase. So to answer C: For each additional customer, the total number of gadgets decreases by 1.25.

  61. anonymous
    • one year ago
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    For (d),|dw:1436898341363:dw|

  62. anonymous
    • one year ago
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    I hope I was able to help you! :)

  63. anonymous
    • one year ago
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    D? @QueenofDrama

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