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

Question

asked Oct 21, 2020 178k views

2 Answers

Filipp · Answer 1 · 2020-10-23T23:49:47+0000

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

Tarun Sapra · Answer 2 · 2020-10-25T08:00:17+0000

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