Question

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

A) xz/y
B) xy/z
C) z/xy
D) y/xz

Answer 1

ANSWER


`A. \: (xz)/(y)`

Step-by-step explanation

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

The we can write the mathematical statement,


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

We introduce the constant of proportionality k, to obtain,


`x = (ky)/(z)`

We now solve for k, by multiplying through by


`(z)/(y)`

This implies that,


`(xz)/(y) = k`

The correct choice is A.