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Math Help - Exponential growth problem

  1. #1
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    Exponential growth problem

    Ok me and my friend are trying to determine the function used on an online game.
    When you build a level 1 metal mine, your production goes up to 22 metal and hour.
    level 2 is 48
    as i said before we are trying to find the exact function that is used, and i am having problems trying to do this, i think it has to do with the rate. i did plot a graph and it shows that it increases less as approaches infinity.
    It doesnt sound that hard, i should be able to do it, though i cant remember how :S

    Here are a table of values
    lvl p/h
    1 22
    2 48
    3 79
    4 117
    5 161
    6 212
    7 272
    8 342
    9 424
    10 518


    thanks
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  2. #2
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    It follows an ugly cubic poynomial exactly:
    f(x)=0.18376068x^3+1.1497669x^2+22.087218x-1.8333333
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  3. #3
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    thank you very much, may i ask how you figured that out?
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  4. #4
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    Quote Originally Posted by sterps
    thank you very much, may i ask how you figured that out?
    Trial and Error

    I have an excellent graphing program which has many different abilities. One of its abilities is using least-squares to approximate curves for a series of points. Which was the case here.
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