# If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

##### 1 Answer

Jun 25, 2017

n = 30

#### Explanation:

Let's write a proportion to represent this problem!

**1. When #y = 180#, #x = n#.** If we write the value of

**y on the top**and

**x on the bottom**, one side of the proportion is:

**2. When #y = n#, #x = 5#.** So the other side of the proportion would be:

**3. Cross multiply. **

**4. Take the square root** of both sides to find

That's your answer!

Check to make sure the proportion makes sense.

Does