Chapter 8.5, Problem 32PPS

To determine

To find out the relation is direct, joint, inverse or combined variation.

Answer to Problem 32PPS

The equation represents direct variation.

Explanation of Solution

Given information:

the equation is

  $\frac{x}{y}=2.75$

The relation can be obtained as

Therefore,

  $\begin{array}{l}\frac{x}{y}=2.75\\ x=2.75y\left[\text{equation }1\right]\end{array}$

If x varies directly as y ,then

  $\begin{array}{l}x\propto y\\ x=ky\left[\begin{array}{l}k=\text{constant}\\ \text{equation 2}\end{array}\right]\end{array}$

Since $\text{equation }\left[1\right]\text{ and equation }\left[2\right]\text{ are similar}$

Hence,

The equation represents direct variation.