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10 April, 01:02

Suppose r varies directly as the square of m, and inversely as s. If r = 16 when m=9 and s = 9, find r when m=27 and s = 9.

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  1. 10 April, 01:14
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    r = 144.

    Step-by-step explanation:

    r ∝ m^2 / s

    r = k m^2/s where k is a constant

    From the given values:

    16 = k 9^2 / 9

    16 = 9k

    k = 16/9

    So when m = 27 and s = 9:

    r = 16/9 * 27^2 / 9

    r = (16 * 27^2) / 81

    r = 16*27 / 3

    = 9*16

    = 144,
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