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27 October, 13:02

The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x=21

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  1. 27 October, 13:20
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    z is inversely proportion to x

    ⇒ z = k/x where k is a constant.

    Find k:

    Whe x = 16, z = 0.875

    16 = k/0.875

    k = 16 x 0.875

    k = 14

    Therefore z = 14/x

    When x = 21, find z:

    z = 14/21

    z = 2/3

    Answer: z = 2/3 or 0.67 (nearest hundredth)
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