Chapter 8.1, Problem 2OE

To determine

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

Answer to Problem 2OE

The function is not a direct variation.

Explanation of Solution

Given information:

The given ordered pairs of a function are:

  

Calculation :

In the given function, the ratio of $z:w$ can be shown by:

  $\begin{array}{l}\frac{z_1}{w_1}=\frac{z_2}{w_2}\ne \frac{z_3}{w_3}\\ \frac{6}{8}=\frac{9}{12}=0.75\\ \text{but }\frac{12}{15}=0.8\end{array}$

Hence, the function is not a direct variation.