Math

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If b varies directly as the square root of w and b equals a negative 24 when w equals 36, what is w when b is equal to 1/8?

  • Math -

    " b varies directly as the square root of w" --> b = k√w, where k is a constant

    given: b = -24 , w = 36
    -24 = k√36
    k = -24/6 = -4

    b = -4√w
    1/8 = -4√w
    √w = -1/32

    by definition √w will be a positive number , so there is no solution.
    Are you sure b wasn't -1/8 ?

  • Math -

    yes this is off a take home test

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