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anonymous

  • one year ago

Need help with some work.

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  1. anonymous
    • one year ago
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    The function below shows the number of students of a school who enrolled for ballet classes. Let f(x) represent the total number of students who enrolled for the classes after x years: f(x) = 12(1.06)x The average rate of change in the number of students who enrolled for ballet classes from the third to the fifth year is ________students per year.

  2. anonymous
    • one year ago
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    @ganeshie8 @phi @mathmate

  3. ganeshie8
    • one year ago
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    can you double check if there are any typoes in the function i think the "x" should be in the exponent

  4. anonymous
    • one year ago
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    f(x) = 12(1.06)^x

  5. ganeshie8
    • one year ago
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    Okay great! i hope you see the difference between \(12(1.06)x\) and \(12(1.06)^x\)

  6. ganeshie8
    • one year ago
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    they are not same

  7. anonymous
    • one year ago
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    tbh, no. This chapter made 0 sense to me at all.

  8. ganeshie8
    • one year ago
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    don't wry, you will get it eventually if u persist

  9. ganeshie8
    • one year ago
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    "average rate of change" is same as the "slope"

  10. ganeshie8
    • one year ago
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    read the problem again, what exactly are we asked to find ?

  11. anonymous
    • one year ago
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    Is this how you do the graph to find the difference? f(x) = 12(1.06)^x 1 12.72 2 13.47

  12. ganeshie8
    • one year ago
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    you need to find the points when x = 3 and x = 5 not when x = 1 and x = 2

  13. ganeshie8
    • one year ago
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    f(x) = 12(1.06)^x f(3) = 12(1.06)^3 = ?

  14. anonymous
    • one year ago
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    but is that how i do it? 1 12.72 2 13.48 3 14.29 4 15.14 5 16.05

  15. ganeshie8
    • one year ago
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    okay, look at the highlighted points 1 12.72 2 13.48 `3 14.29` 4 15.14 `5 16.05`

  16. ganeshie8
    • one year ago
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    we need only them because we're asked to find the average rate of change between years 3 and 5

  17. ganeshie8
    • one year ago
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    find the slope of those two points and you're done!

  18. ganeshie8
    • one year ago
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    remember the slope formula ?

  19. anonymous
    • one year ago
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    so i would do mean to find the difference? 14.29+15.14+16.05=45.48 45.48/3= 15.16 difference?

  20. ganeshie8
    • one year ago
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    no

  21. anonymous
    • one year ago
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    hmm

  22. ganeshie8
    • one year ago
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    (3, 14.29) and (5, 16.05) slope = (16.05 - 14.29) / (5-3) = ?

  23. ganeshie8
    • one year ago
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    Looks good! 0.88 is the average rate of change between years 3 and 5

  24. anonymous
    • one year ago
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    ok cool! 1 more?

  25. anonymous
    • one year ago
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    thank you for your help by the way!

  26. ganeshie8
    • one year ago
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    yw

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