Chapter EP, Problem 9.5.3EP

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 9.5.3EP

The given equation $\frac{x}{y}=-6$ represents a direct variation and constant of variation is -6.

Explanation of Solution

Given: $\frac{x}{y}=-6$

$\frac{x}{y}=-6$ 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 $y$ varies directly as $x$ , then $y$ = $kx$ where $k$ is the constant of variation.

So,it can rewrite the given equation as:

  $\begin{array}{l}\frac{x}{y}\times y=-6(y)\\ x=-6y\end{array}$

The given solved equation is similar in the form as the given above statement with $k=-6$

Thus,the given equation represents a direct variation and constant of variation is $k=-6$