Chapter EP, Problem 9.5.6EP

To determine

To state:The given equation represents a direct, joint, inverse, or combined variation and also name the constant of variation.

Answer to Problem 9.5.6EP

The given equation $A=lw$ represents a direct variation and constant of variation is $c=A$ .

Explanation of Solution

Given: $A=lw$

$A=lw$ be the given equation and it has to represent a direct, joints, inverse or combinedvariation and also name the constant of variation.

According to the rule if $A=\text{constant}$ varies inversely as $l$ , then $w=\frac{c}{l}$ or $A=lw$ where $c$ is the constant of variation.

So,it can rewrite the given equation as:

  $w=\frac{c}{l}$

As we got a equation in the form $w=\frac{c}{l}$ , the given equation represents inverse variation and the constant of variation is $A=lw$.