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Math Help - Rational Functions?

  1. #1
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    Rational Functions?

    Suppose p varies directly as the cube of x, and inversely with y. If p=5/8 when x=4 and y=10, find p when x=2 and y=16

    How do you set up the steps?
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  2. #2
    Jen
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    When P varies directly with x, it means, p=k_1x for some constant k.

    If P varies directly with the cube of x then, P = k_1 x^3

    When P varies inversely with y it means, P = \frac{k_2}{y}

    Now if you use the initial conditions provided you should be able to solve for the constants k_1 \mbox{ and } k_2
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  3. #3
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    thanks

    Quote Originally Posted by Jen View Post
    When P varies directly with x, it means, p=k_1x for some constant k.

    If P varies directly with the cube of x then, P = k_1 x^3

    When P varies inversely with y it means, P = \frac{k_2}{y}

    Now if you use the initial conditions provided you should be able to solve for the constants k_1 \mbox{ and } k_2
    Thanks for the quick response, I appreciate it.
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  4. #4
    Jen
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    No Problem.
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