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13 September, 03:23

If y varies inversely with 2.5x, and y=5.6 and x=30, write an equation to represent this relationship

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  1. 13 September, 05:45
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    Let the constant of variation be c.

    We are given that y varies inversely with 2.5x, this means that:

    y = (c) / (2.5x)

    This can be written as:

    2.5xy = c

    Now, we a re given that y = 5.6 at x = 30.

    Substitute with these values in the equation to get the value of c as follows:

    2.5xy = c

    2.5 (30) (5.6) = c

    c = 420

    Therefore, the equation that describes the relation is:

    2.5xy = 420
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