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Which of the following is an example of direct variation?

A) y = x - 2

B) y = 2 (x + 5)

C) x - 3y = 0

D) x = y + 3

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  1. 19 May, 14:09
    0
    C

    Step-by-step explanation:

    Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation." However, no direct variation equation includes a constant ("y-intercept"). So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.

    A) involves a constant term, - 2; NOT direct variation

    B) involves a constant term, 10; NOT direct variation

    C) Here 3y = x, or y = x/3, involves no constant term, so Does represent direct variation

    D) involves a constant term - 3; NOT direct variation
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