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

Question

asked Feb 4, 2018 31.1k views

2 Answers

Yoana · Answer 1 · 2018-02-11T13:13:31+0000

Answer:

The expression represents the constant of variation k is
(xz)/(y) .

Explanation:

As given

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

$x \propto y$

and

$x \propto (1)/(z)$

Than combined the above equation.

$x \propto (y)/(z)$

x = k(y)/(z)

Where k is the constant of variation.

Than

k = (xz)/(y)

Therefore the expression represents the constant of variation k is
(xz)/(y) .