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23 June, 09:02

If y varies directly with x, write an equation for the direct variation. Then find each value.

1. If y = - 12 when x=9, find y when x = - 4

2. Find y when x=10 if y = 8 when x = 20

3. If y = - 6 when x = - 14, find x when y = - 4

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Answers (1)
  1. 23 June, 10:18
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    1)

    y = kx

    -12 = k (9)

    k = - 4/3

    y = (-4/3) (-4)

    y = 16/3

    2)

    y = kx

    8 = 20k

    k = 2/5

    y = (2/5) (10)

    y = 4

    3)

    y = kx

    -6 = k (-14)

    k = 3/7

    -4 = (3/7) x

    -4 (7/3) = x

    x = - 28/3
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