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Thread: Hi I'm new and have a problem with exponential equation.

  1. #1
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    Sweden
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    Hi I'm new and have a problem with exponential equation.

    So I'm a Swede and found this site in an attempt to solve a game problem.

    I have a weapon that do 50 dps and damage more per second to a maximum of 200 dps and it maxes out in 45 seconds.

    200 - 50 = 150
    150 / 45 = 3,33...

    So it does 3,33 extra damage per second. Now i want to know how much damage it does after let say 10/s.

    50 * 10 + (3,33*10) = 533,33

    This sounds wrong since every tick in seconds make it damage more the damage should be closer to.

    50 + 3,33
    100 + 6,66
    150 + 13,33
    200 + 26,66
    250 + 43,33
    300 + 96,66
    350 + 183,33
    400 + 376,66
    450 + 723,33
    500 + 1446,66

    This way I believe I might get a more accurate number but this is tedious and prone to error since it's done manually and you probably will count something double.

    How do i make this calculation with equation?

    Side note: If I want to damage lets say 750 and want to know the time until it's reached how do I change the equation to reflect the new wanted output?
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  2. #2
    Newbie
    Joined
    Sep 2017
    From
    Bucharest
    Posts
    7

    Re: Hi I'm new and have a problem with exponential equation.

    I don't know if I understood your problem, but from what I did understand. It looks like an arithmetic progression to me.https://en.wikipedia.org/wiki/Arithmetic_progression

    Let $d_t$ be the damage your weapon does in the second t. We know that $d_1=53.33$ and we also know ( from what I understood ) that $d_n=d_{n-1}+3,(33)$. Using this formula $d_{45}=200$ ( I think that $d_n=200$ if n is bigger than 45 ), which seems right. To find how much damage it does after 10s you just need to compute $d_{10}$, which is pretty easy since $d_{10}=53,(33)+9*3,(33)$.

    Since your weapon reach a maximum of 200 dps, I assume that you want to know how much seconds will it take to deal a total damge of 750. To find out you need to solve this inequation for k.
    $\sum_{t=1}^{k}d_t \geq 750$
    Last edited by Hippasus; Oct 4th 2017 at 11:10 AM.
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