Translating Verbal Expressions to Algebraic Expressions

x y
1 8
2 16
3 24

What patterns do you notice in the relation given above?

In the relation given above, there is a proportional relationship between x and y. This relation is an example of a direct variation. As you progress through this topic, you will explore both direct variations and inverse variations. You will learn how to determine whether a relation represents a direct or an inverse variation.

Essential Questions

  • How do you determine if a direct variation exists?
  • How do you determine if an inverse variation exists?