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5 April, 09:22

Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?

Round to the nearest hundredth, if necessary.

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  1. 5 April, 09:43
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    Answer: = y = 0.25 to the nearest hundredth.

    Step-by-step explanation:

    In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 increases.

    Y varies inversely with x.

    So as y increases, x reduces and as y reduces, x increases.

    We would proceed by introducing a constant of variation, k

    y = k/x

    From the information given,

    The constant of variation, k = 1.24

    The value if x = 4.96

    To find the value of y

    y = k/x = 1.24/4.96

    = 0.25 to the nearest hundredth.
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