Determine the constant of variation for the stated condition.
-$t$ varies directly as $\mathrm { r }$ and inversely as $\mathrm { s }$, and $\mathrm { t } = 2$ when $\mathrm { r } = 30$ and $\mathrm { s } = 75$.
A) $k = 5$
B) $\mathrm { k } = \frac { 1 } { 5 }$
C) $\mathrm { k } = \frac { 2 } { 5 }$
D) $\mathrm { k } = 15$

Question

Quizplus · Accepted Answer

The formula for direct and inverse variation is $t = k \frac{r}{s}$. Substituting the given values, $2 = k \frac{30}{75}$, solving for $k$ gives $k = 5$.

Determine the Constant of Variation for the Stated Condition ttt Varies Directly As

Determine the Constant of Variation for the Stated Condition $t$ Varies Directly As