Question

A quantity x varies directly with y and inversely with z. Which expression represents the constant of variation,k?

Answer 1

the answer is xz/y.

Answer 2

Answer:

The expression represents the constant of variation k is  $\frac{xz}{y}$.

Step-by-step explanation:

As given

A quantity x varies directly with y and inversely with z.

$x \propto y$

and

$x \propto \frac{1}{z}$

Than combined the above equation.

$x \propto \frac{y}{z}$

$x = k\frac{y}{z}$

Where k is the constant of variation.

Than

$k = \frac{xz}{y}$

Therefore the expression represents the constant of variation k is  $\frac{xz}{y}$.