Question

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

the variables x and y?

Answer 1

Answer: Option A

`y = (9)/(x)`

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 = (k)/(x)`

Where k is known as variation constant

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

`y = (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