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freemap

  • one year ago

The table shows the total number of bags of popcorn sold after the door to a movie theater was opened. Between which two consecutive times was the average rate of change the greatest? A. between Hour 1 and Hour 3 B. between Hour 3 and Hour 5 C. between Hour 5 and Hour 8 D. between Hour 8 and Hour 12

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  1. freemap
    • one year ago
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  2. freemap
    • one year ago
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    Do you know which one?

  3. mathmate
    • one year ago
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    I don't know which one, because I don't look at answer choices. But I can help you to find the answer.

  4. freemap
    • one year ago
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    ok

  5. freemap
    • one year ago
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    D?

  6. freemap
    • one year ago
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    they're the greatest numbers

  7. mathmate
    • one year ago
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    The question asks the \(average\) rate of change the greatest, which means that the difference has to be divided by the number of hours in the interval. Give it another try.

  8. freemap
    • one year ago
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    ok just a sec

  9. freemap
    • one year ago
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    A?

  10. freemap
    • one year ago
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    I divided the bottom numbers

  11. mathmate
    • one year ago
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    Can you state the answer instead of the letter? This will avoid misunderstanding, and will help you check you answer unconsciously.

  12. freemap
    • one year ago
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    147/22

  13. freemap
    • one year ago
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    which gave me 6.8 while the other gave me 1

  14. mathmate
    • one year ago
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    No, you got the wrong idea. The numbers shown are cumulative, it said "number of bags sold \(after\) door was opened. So you need to subtract consecutive numbers to get the number of bags sold during the period. |dw:1441585942275:dw| So you choose the maximum average number of bags.

  15. mathmate
    • one year ago
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    Sorry, the last column is not clear, but you can still see the calculation.

  16. freemap
    • one year ago
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    I get that 1 and 22 would be correct. What I don't understand is how you know what to dived the number by

  17. mathmate
    • one year ago
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    Rate of change = (change in y)/(change in x) In the current context, change in y=number of bags sold change in x=number of hours elapsed So for the first period between 1st and 3rd hours, change in y = 147-22 = 125 bags change in x = 3-1=2 hours so the average rate of change is 125bags/2 hours = 62.5 bags / hours. Repeat the same calculation for the other periods and you will get to choose the period containing the maximum number of bags sold per hour.

  18. freemap
    • one year ago
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    oh I get 3-1 gives you 2 therefore you divide by 2, ok thanks

  19. mathmate
    • one year ago
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    Exactly! You're welcome! :)

  20. freemap
    • one year ago
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    So it was A?, Would you help me again

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