# How to Represent a Proportional Relationship

By Marija Kero

A proportional relationship is one in which there is a constant ratio rate of change. Represent a proportional relationship with help from an experienced mathematics professional in this free video clip.

### Transcript

Hi, my name is Marija, and today I'm going to show you how to represent a proportional relationship. So a proportional relationship is one in which there is a constant ratio rate of change. For example if you know that somebody makes \$10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this. So we can say that Y will represent the amount of money made and X will represent the amount of hours and then what we would do is say that Y is equal to 10X where X is the amount of hours worked. So basically just saying that I would multiply every hour worked by 10 and that would give me the amount of money that is made. So you can represent any proportional relationship by just making a simple equation. You can do the same thing for distance and time for example, if you know that somebody runs five miles per every one hour, you can do the same thing, Y can represent the distance that I've run and if X represents the number of hours that I've been running then I would do 5X in order to get the total distance that I've run and that is how you represent a proportional relationship.