Chapter 8.2, Problem 5OE

To determine

To write: An equation for the given variation.

Answer to Problem 5OE

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

  $V=k{r}^3$

Explanation of Solution

Given information:

The following variation:

V varies directly as the cube of r.

k is the constant of variation.

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

  $V=k{r}^3$

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.