Chapter 8.9, Problem 1OE

To determine

To find: Whether the given equation defines a direct variation or not.

Answer to Problem 1OE

The given equation is a direct variation and the constant of variation is $3$ .

Explanation of Solution

Given information:

The given equation is,

  $y=3x$

The given equationcan be written as,

  $\begin{array}{l}y=3x\\ y\propto x\end{array}$

The $y$ quantity is directly proportional to the $x$ quantity, so the given equation is a direct variation and the constant of variation is $3$ .

Thus, the given equation is a direct variation and the constant of variation is $3$ .