Chapter 8.2, Problem 6OE

To determine

To write: An equation for the given variation.

Answer to Problem 6OE

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

  $i=\frac{k}{j^2}$

Explanation of Solution

Given information:

The following variation:

i is inversely proportional to the square of j.

k is the constant of variation.

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

  $i=\frac{k}{j^2}$

where k is a constant.

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.