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maths

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if x and y vary inversely and x=18 when y=8,find x when y=16

  • maths -

    x and y vary inversely ---y = kx , where k is a constant
    given: x=18, y = 8
    8 = 18k
    k = 4/9

    so y = (4/9)x or 9x = 4y
    when y = 16
    9x = 4(16)
    x = 64/9

    or

    x1/y1 = y2/x2

    18/8 = 16/x2
    18x2 = 8(16)
    x2 = 8(16)/18 = 64/9

  • maths -

    eh? inversely ==> xy = k

    8*18 = k
    k = 144

    when y=16,
    x*16 = 144
    x = 9

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