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23 October, 22:46

The values of x and y vary directly

and one pair of values are given.

Write an equation that relates x

and y. Simplify completely.

x = 12, y = 3

(It's a fraction answer)

+5
Answers (2)
  1. 23 October, 23:51
    0
    The general formula is x=4y

    Step-by-step explanation:

    x varies directly as y

    x∝y

    Then, let k be constant of proportionality

    x=ky

    If x=12 and y=3

    Then, 12=3k

    Divide both side by 3

    k=4

    The general formula

    x=ky

    Then, since K=4

    x=4y
  2. 24 October, 00:44
    0
    y = (1/4) x

    Step-by-step explanation:

    "Direct variation" here signifies y = kx, where k is the constant of proportionality.

    Then y = kx. Here we are to find k using the info that x = 12 and y = 3:

    3 = k (12), or

    k = 3/12, or k = 1/4

    Then y = (1/4) x
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