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16 September, 22:58

If x varies directly with y and x=6 when y=8, find x when y=18.

Options:

13.5

12

24

12.5

+1
Answers (1)
  1. 16 September, 23:21
    0
    x = 13.5

    Step-by-step explanation:

    direct variation

    y = kx

    substitute x and y to find k

    8 = k*6

    divide by 6

    8/6 = k

    4/3 = k

    y = 4/3 x

    now put in y = 18

    18 = 4/3 x

    multiply by 3/4

    18 * 3/4 = 3/4 * 4/3 x

    54/4 = x

    change to a decimal

    13.5 = x
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