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Math Help - Increase my sales at the same rate each week

  1. #1
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    Increase my sales at the same rate each week

    hello. i am not a mathematician. i'm just a guy who's been up for too many hours today...

    i want to sell a cumulative total of X widgets over Y number of weeks. i know that my first week’s sales will be Z. i want to increase my sales at the same rate each week from Z in the first week through to the last week (and ending at my cumulative goal of X).

    how do I calculate the rate of increase? can i?

    p.s., i'm not a salesman either. just could not think of another way to explain what i'm trying to do...
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  2. #2
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    Re: little help?

    Hi Bills39

    Reading your problem I think you are after the constant % increase from Z to X over Y weeks.

    If so consider

    \displaystyle X=Z\left(1+\frac{r}{100}\right)^Y

    Solve for r
    Last edited by mr fantastic; July 13th 2011 at 03:55 AM.
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  3. #3
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    Re: Increase my sales at the same rate each week

    thanks...

    i think this equation will help if wanted to know the constant % increase necessary to sell X in the last week... but i am actually looking for the constant % increase in order to end with a cumulative total of X sales (accross all weeks)...
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  4. #4
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    Re: Increase my sales at the same rate each week

    I think it is what you are after.
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