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

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)`.