Determine the constant of variation for the stated condition.
-$y = 5$ when $x = 15$
A) $y = \frac { 1 } { 3 } x$
B) $y = 3 x$
C) $\mathrm { y } = \mathrm { x } + 10$
D) $y = \frac { 1 } { 5 } x$

Question

Quizplus · Accepted Answer

The constant of variation, $k$, in a direct variation $y = kx$ can be found by solving the equation $k = \frac{y}{x}$. Given $y = 5$ when $x = 15$, $k = \frac{5}{15} = \frac{1}{3}$, so the correct equation is $y = \frac{1}{3}x$.

Determine the Constant of Variation for the Stated Condition y=5y = 5y=5

Determine the Constant of Variation for the Stated Condition $y = 5$