Math (FST Exponential & Logarithm)

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Find the exponential model using y=a(b)^x with (9, 120) & (12, 216) (round to 4 decimal places- show work)

  • Math (FST Exponential & Logarithm) -

    subbing in the 2 points gives us
    1) 120 = a(b)^9
    2) 216 = a(b)^12

    divide 2) by 1)
    216/120 = b^12/b^9
    b^3 = 9/5
    b = (9/5)^(1/3) = 1.2164

    put this back into 1)
    120 = a(1.2164)^9
    a = 20.5761

    y = 20.5764(1.2164)^x

    (I checked for (12,216), it works)

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