Determine the constant of variation for the stated condition.
-$y$ varies directly as $x$ and inversely as the square of $z . y = 9$ when $x = 36$ and $z = 6$. Find $y$ when $x = 88$ and $z = 5$.
A) $31.68$
B) $26.4$
C) $15.28$
D) $158.4$

Question

Quizplus · Accepted Answer

The constant of variation $k$ can be found using the given condition $y = k \frac{x}{z^2}$. Substituting $y = 9$, $x = 36$, and $z = 6$ into the equation gives $9 = k \frac{36}{6^2}$, solving for $k$ gives $k = 9$. To find $y$ when $x = 88$ and $z = 5$, substitute these values and $k = 9$ into the original equation: $y = 9 \frac{88}{5^2} = 31.68$.

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

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