Question

47. What is the correct equation for direct variation that includes the point (3, 1)?A. y = –3xB. y = –1/3xC. y = 3xD. y = 1/3x

Answer 1

Given:

Direct variation that includes the point (3, 1).

To find:

The correct equation for direct variation includes the point (3, 1).

Step-by-step explanation:

If two quantities vary directly, their relationship can be described as:

`y=kx`

Where x and y are two quantities and k is the constant of variation.

This equation includes the point (3, 1), i..e,

`\begin{gathered} 1=3k \\ \\ \Rightarrow k=(1)/(3) \end{gathered}`

So, we can write our expression as:

`y=(1)/(3)x`

Final answer:

Hence, the required correct equation for direction variation that includes the point (3, 1):

`y=(1)/(3)x`