If x varies inversely with y and x = 4 when y = 9, find x when y = 6.

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If x varies inversely with y and x = 4 when y = 9, find x when y = 6.

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    2021-09-08T22:51:06+00:00

    x = 6

    given x varies inversely with y then

    xy = k ← k is the constant of variation

    to find k use the condition x = 4 when y = 9, hence

    k = 4 × 9 = 36

    x = \frac{36}{y} ← inverse variation equation

    when y = 6, then x = \frac{36}{6} = 6

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