Math

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Let f(t) be an exponential function with f(0) = 11 and f(4) = 59.

Use the form f(t) = Pa^t to find an equation for this exponential function? What is the Value of P and A?

Thanks!

  • Math -

    Just plug in the two values for t, and get two equations for P and A:

    PA^0 = P = 11
    so, f(t) = 11A^t
    11A^4 = 59
    A^4 = 59/11
    A = 1.52

    f(t) = 11*1.52^t

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