# #y# varies inversely with #x#, and #x=4.5# when #y=2.4#. What is the value of #x# when the value of #y=4.32#?

##### 3 Answers

#### Explanation:

Inverse variation is given by:

Where

To find

When

#### Explanation:

Direct variation uses the equation

Inverse variation uses the equation

Where

In order to solve this problem we need to use the numbers provided for the first scenario to solve for the constant of

variation

Use the multiplicative inverse to isolate

Use the multiplicative inverse to bring

Divide both sides by

#### Explanation:

When;

Substituting the values of

Cross multiplying;

Therefore;

Now the relationship between the two unknowns becomes;

What is

Substituting the value of

Cross multiplying;