Question

Which of the following equations is an example of inverse variation between

Answer 1

Answer: Option A

$y = \frac{9}{x}$

Step-by-step explanation:

It is said that two variables x and y vary inversely if the increase of one of the variables causes the other to decrease.

This is represented by the following equation

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

Where k is known as variation constant

To answer this question, identify among the options given that the form has

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

The answer is the option A. with k = 9

Answer 2

For this case we have that by definition, a direct variation is given by:

$y = kx$

Where:

k: It is the constant of proportionality of the variables.

On the other hand, we have that the inverse variation is given by:

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

Where:

k: It is the constant of proportionality of the variables.

In this way, the correct option is: $y = \frac {9} {x}$

ANswer:

Option A