Question

Which of the following equations is an example of inverse variation between the variables $x$ and $y$?

• A. $y=\frac{x}{3}$
• B. $y=\frac{3}{x}$
• C. $y=x+3$
• D. $y=3x$

Answer 1

The correct option is B

$y=\frac{3}{x}$

Explanation for the correct option:

Find the equation with the inverse variation between the variables $\mathit{x}$ and $\mathit{y}$.

Inverse variation is the relationships between variables that are represented in the form of $y=\frac{k}{x}$, where $x$ and $y$ are two variables and $k$ is the constant value.

$y=\frac{3}{x}$ is an example of inverse variation.

Hence, $y=\frac{3}{\mathrm{x}}$ equation is an example of inverse variation between the variables $x$ and $y$.

Hence, the correct option is option (B).