Recognize and represent proportional relationships between quantities.

- Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
- Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- Represent proportional relationships by equations.
*For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn*. - Explain what a point
*(x, y)*on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1,*r)*where*r*is the unit rate.

**7.RP Ratios and Proportional Relationships**

**7.RP.A ***Analyze proportional relationships and use them to solve real-world and mathematical problems.*