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14 July, 10:20

If y varies directly as x and y=8 when x=2, find y when x=6

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Answers (2)
  1. 14 July, 11:06
    0
    y = 8

    Step-by-step explanation:

    If y varies directly as x we can write y = kx where k is some constant.

    Y = 8 when x = 2 so 8 = k*2

    k = 8/2 = 4

    so y = 4x

    This is the equation of variation.

    When x = 6, y = 4*6 = 24 (answer).
  2. 14 July, 11:07
    0
    y = 24

    Step-by-step explanation:

    The equation for direct variation is

    y = kx

    If we know x and y we can solve for k

    y=kx

    8 = k*2

    Divide each side by 2

    8/2 = k2/2

    4 = k

    y = 4x

    We want to find y when x=6

    y = 4*6

    y = 24
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