Determine the constant of variation for the stated condition.
-$\mathrm { s }$ varies directly as $\mathrm { r } ^ { 2 }$, and $\mathrm { s } = 80$ when $\mathrm { r } = 4$.
A) $\mathrm { k } = 5$
B) $k = 80$
C) $\mathrm { k } = \frac { 1 } { 5 }$
D) $\mathrm { k } = 76$ If y varies directly as x, find the direct variation equation for the situation.

Question

Quizplus · Accepted Answer

The constant of variation $k$ is found using the formula $s = kr^2$. Substituting $s = 80$ and $r = 4$ gives $80 = k(4)^2$, solving for $k$ gives $k = 5$.

Determine the Constant of Variation for the Stated Condition s\mathrm { s }s

Determine the Constant of Variation for the Stated Condition $\mathrm { s }$