If y varies directly as x, find the direct variation equation for the situation.
-$y = 7$ when $x = 42$
A) $y = x + 35$
B) $y = \frac { 1 } { 6 } x$
C) $y = \frac { 1 } { 7 } x$
D) $y = 6 x$

Question

Quizplus · Accepted Answer

The direct variation equation is of the form $y = kx$, where $k$ is the constant of variation. Given $y = 7$ when $x = 42$, we find $k$ by dividing $y$ by $x$, thus $k = \frac{7}{42} = \frac{1}{6}$. Therefore, the equation is $y = \frac{1}{6}x$.

If Y Varies Directly as X, Find the Direct Variation y=7y = 7y=7

If Y Varies Directly as X, Find the Direct Variation $y = 7$