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15 May, 11:21

W varies jointly as x and p. If w=78 when x=2 and p=10, find x when w=858 and p=5.5

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  1. 15 May, 11:31
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    W=kxp

    where

    k is the constant of proportionality given by:

    k=w/xp

    If w=78 when x=2 and p=10 then

    k=78 / (2*10)

    k=3.9

    thus the formula is:

    w=3.9xp

    b] find x when w=858 and p=5.5

    plugging the values in the formula we get:

    858=3.9 * 5.5*x

    hence

    x=858 / (3.9*5.5)

    x=358/21.45

    x=16.69
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