Chapter 8.1, Problem 1OE

To determine

To state whether the function is a direct variation or not and give the constant of variation.

Answer to Problem 1OE

The function is a direct variation and the constant of variation is $6$ .

Explanation of Solution

Given information:

The given ordered pairs of a function are:

  

Calculation :

In the given function, the ratio of $y:x$ is same and can be shown by:

  $\begin{array}{l}\frac{y_1}{x_1}=\frac{y_2}{x_2}=\frac{y_3}{x_3}\\ \frac{3}{0.5}=\frac{12}{2}=\frac{42}{7}=6\end{array}$

Hence, the function is a direct variation and the constant of variation is $6$ .