Chapter 8.2, Problem 10OE

To determine

To write: An equation for the given variation.

Answer to Problem 10OE

The given variation can be expressed as an equation as follows:

  $m=k\frac{n}{z}$

Explanation of Solution

Given information:

The following variation:

m varies directly as n and inversely as z.

k is the constant of variation.

The given variation can be expressed as an equation as follows:

  $m=k\frac{n}{z}$

where k is a constant.

A linear function defined by an equation of the form $y=mx,(m\ne 0)$ , where m is a constant, is called direct variation.

A function defined by an equation in the form $y=\frac{k}{x},\left(k\ne 0,x\ne 0\right)$ , where k is a constant, is called an inverse variation.