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19 August, 20:35

Write an exponential function y = abx for a graph that includes (2, 24) and (3, 48).

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  1. 19 August, 20:57
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    I think you mean y=ab^x.

    First, plug in the values of x=2 and y=24 for the first equation, and x=3 and y=48 for the second one:

    24 = ab^2

    48 = ab^3

    divide equation 2 by equation 1:

    2 = b^1

    or, more simply:

    2 = b

    now plug b into one of the equations to get "a":

    24 = a*2^2

    24 = a*4

    6 = a

    So, the answer is y = 6 (2) ^x

    (I think you need to specify the power of x in your answers)
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