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Math Help - Find the equation for an exponential that passes through the following points:

  1. #1
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    Find the equation for an exponential that passes through the following points:

    Find the equation for an exponential that passes through the following points:

    (-1, 35/12) and (2, 126/25)

    Having a lot of trouble on this, thanks for the help
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Find the equation for an exponential that passes through the following points:

    What is the form you are to use, i.e., what are the two parameters? Is it:

    y(x)=y_0e^{rx} ?
    Last edited by MarkFL; November 25th 2012 at 10:01 PM.
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  3. #3
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    Re: Find the equation for an exponential that passes through the following points:

    Set up a system of equations using:
    y(x)=y_0b^{x}
    and solve
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Find the equation for an exponential that passes through the following points:

    Okay, you have two parameters and two given points. We are told:

    y(-1)=\frac{35}{12}

    y(2)=\frac{126}{25}

    Now using y(x)=y_0b^x, what is your system of equations?
    Last edited by MarkFL; November 26th 2012 at 02:34 AM.
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  5. #5
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    Re: Find the equation for an exponential that passes through the following points:

    I hope this helps:
    y(-1)=\frac{\35}{12}=ab^{-1}. \frac{35b}{12}=a
    Using a similar process for the second point allows you to solve for b, and consequently for a.
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