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20 August, 06:46

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.

1. y = 8 when x = - 4

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Answers (2)
  1. 20 August, 07:02
    0
    For direct variation, y = kx

    8 = - 4k

    k = 8/-4 = - 2

    Therefore, required equation is y = - 2x

    when x = 7, y = - 2 (7) = - 14
  2. 20 August, 07:02
    0
    From the statement, y varies directly with x. It can be expressed as:

    y α x

    To change it to an equality, we insert a proportionality constant k.

    y = kx

    We first solve for k,

    8 = k (-4)

    k = - 2

    Therefore, when x = 7,

    y = - 2 (7)

    y = - 14
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