---college algebra (average rate of change)---

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If the average rate of change of g(x) from x = 1 to x = 9 is 20, and if the average rate of change of g(x) from x = 9 to x = 21 is 40, then what is the average rate of change of g(x) from x = 1 to x = 21?

  • ---college algebra (average rate of change)--- -

    from 1 to 9, g(x) = 20(x-1)
    so, g(9) = g(1) + 160
    similarly, g(21) = g(9) + 40(21-9)
    = g(9) + 480

    So, g(21) = g(1) + 160 + 480 = g(1)+640

    640/(21-1) = 640/20 = 32

    The average rate of change from x=1 to 21 is 32.

  • ---college algebra (average rate of change)--- -

    solve using the graphing method y=x-3
    y=-1/2x=3

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