Find the variation equation for the variation statement.
-$z$ varies directly as $x$ and inversely as $y ; z = 5$ when $x = 45$ and $y = 45$
A) $z = \frac { 5 } { x y }$
B) $z = \frac { 5 x } { y }$
C) $z = \frac { x } { 5 y }$
D) $z = 5 x y$

Question

Quizplus · Accepted Answer

The variation equation for $z$ varies directly as $x$ and inversely as $y$ is $z = k\frac{x}{y}$, where $k$ is the constant of variation. Given $z = 5$, $x = 45$, and $y = 45$, we can solve for $k$ as follows: $5 = k\frac{45}{45}$, which simplifies to $5 = k$. Therefore, the variation equation is $z = \frac{5x}{y}$.

Find the Variation Equation for the Variation Statement zzz Varies Directly As

Find the Variation Equation for the Variation Statement $z$ Varies Directly As