Mathematics

Question

How to find an exponential function with two points?

1 Answer

  • well u have a basic equation y=a • b^x
    a is the initial amount
    b is the growth factor
    and x is the exponent

    the first step is to make a chart with ur two points for example
    (0,4) and (2,16)
    so ur chart will be
    x. | y.
    0. | 4
    2. | 16
    next you find the difference between the x side so 0 to 2 is +2
    then find the difference between the y side so 4 to 16 is +12
    then put it into a fraction with y over x or y/x so 12/2 then simplified 6/1 or just 6.

    6 is the growth factor
    and to find a u have to go on the y column and find the first number so
    a is 4
    x is still x because it's 0 but if it was 2 then it would be x-2 so it can cancel
    so the answer would be y=4 • 6^x
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