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Math Help - Number Growth Help

  1. #1
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    Number Growth Help

    OK, i have two data sets, one is an Input, one is an output

    As the Input Grows, the output grows at a faster rate
    EG
    at 225 the output is 18.92 or 8.41% of the Input
    at 254.25 the output is 23.31 or 9.17% of the Input
    it keeps on like this until you reach
    355 input with an output of 38.5 or 10.83%

    How would i go about finding the a formula to solve for the unknown?

    Thanks for the Help
    Kevin
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by GigaRoc View Post
    OK, i have two data sets, one is an Input, one is an output

    As the Input Grows, the output grows at a faster rate
    EG
    at 225 the output is 18.92 or 8.41% of the Input
    at 254.25 the output is 23.31 or 9.17% of the Input
    it keeps on like this until you reach
    355 input with an output of 38.5 or 10.83%

    How would i go about finding the a formula to solve for the unknown?

    Thanks for the Help
    Kevin
    Plot the data, you will find the points lie exactly on a line. The general equation of a line is:

    y=mx+c,

    where x is the input and y the output.

    Chose any two points from your data set (say the first and last) to get:

    18.92=225m+c

    and

    38.8=355m+c.

    Then solve for m and c.

    RonL
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  3. #3
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    Thanks, That was close, but as the data Grows, so does the deviation, i will continue to play with the formula's
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by GigaRoc View Post
    Thanks, That was close, but as the data Grows, so does the deviation, i will continue to play with the formula's
    The points you gave lie exactly (or as near as makes no difference) on a
    straight line. There is nothing in your data to indicate or justify any other
    model.

    RonL
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