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Math Help - Variation

  1. #1
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    Variation

    Express the following statement as a formula:

    w varies jointly with square root of y and z squared and inversely as x cubed.
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  2. #2
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    This means that w is a function directly proportional to \sqrt{y}, z^2 and \frac{1}{x^3}

    w = k \times \frac{z^2 \, \sqrt{y}}{x^3}

    where k is a constant.

    Or I may be wrong? If w varies jointly it could be w = k \times \frac{z^2 \pm \sqrt{y}}{x^3}
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  3. #3
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    ok...

    Quote Originally Posted by nzmathman View Post
    This means that w is a function directly proportional to \sqrt{y}, z^2 and \frac{1}{x^3}

    w = k \times \frac{z^2 \, \sqrt{y}}{x^3}

    where k is a constant.

    Or I may be wrong? If w varies jointly it could be w = k \times \frac{z^2 \pm \sqrt{y}}{x^3}

    Well-done!
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