Unit 4 - Lesson 12 - Grade 8: Illustrative Mathematics

Without graphing, explain what the graphs in this situation would look like. Think about slope, intercepts, axis labels, units, and intersection points to guide your thinking.

Find the point where the two graphs intersect each other. What are the coordinates of this point?

What do the coordinates mean in this situation?

What has to be true about the relationship between these coordinates and Jada’s equation?

What has to be true about the relationship between these coordinates and Han’s equation?

For what number of cups will the two stacks have the same height?

What does the graph tell you about the situation and how many solutions there are?