# Lesson 13

Two Graphs for Each Relationship

The practice problem answers are available at one of our IM Certified Partners

### Problem 3

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is proportional relationship between the amount of raisins, $$r$$ (cups), and the amount of peanuts, $$p$$ (cups), in this recipe.

1. Write the equation for the relationship that has constant of proportionality greater than 1. Graph the relationship.
2. Write the equation for the relationship that has constant of proportionality less than 1. Graph the relationship.

### Problem 4

Here is a graph that represents a proportional relationship.

1. Come up with a situation that could be represented by this graph.
2. Label the axes with the quantities in your situation.
3. Give the graph a title.
4. Choose a point on the graph. What do the coordinates represent in your situation?
(From Grade7, Unit 2, Lesson 11.)