Given:
Direct variation that includes the point (3, 1).
To find:
The correct equation for direct variation includes the point (3, 1).
Explanation:
If two quantities vary directly, their relationship can be described as:
[tex]y=kx[/tex]Where x and y are two quantities and k is the constant of variation.
This equation includes the point (3, 1), i..e,
[tex]\begin{gathered} 1=3k \\ \\ \Rightarrow k=\frac{1}{3} \end{gathered}[/tex]So, we can write our expression as:
[tex]y=\frac{1}{3}x[/tex]Final answer:
Hence, the required correct equation for direction variation that includes the point (3, 1):
[tex]y=\frac{1}{3}x[/tex]