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25 October, 19:27

The variables x and y are inversely proportional, and y=2 when x=3. What is the value of y when x=9?

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  1. 25 October, 19:44
    0
    x = z / y

    when x = 3, y = 2

    3 = z / 2

    z = 6

    when x = 9, z = 6

    9 = 6 / y

    y = 6 / 9 = 2 / 3 Answer
  2. 25 October, 19:46
    0
    If x is inversely proportional to y, then:

    x=k/y.

    When y=2, x=3.

    3=k/2, therefore k=6.

    So, x=k/y is in fact x=6/y.

    When x=9:

    9=6/y

    9y=6

    y=6/9=2/3.
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