Objective
To represent mathematical relationships using graphs
As you may have noticed in the Solve It, the change in the height of the water as the volume increases is related to the shape of the container.
Essential Understanding You can use graphs to visually represent the relationship between two variable quantities as they both change.
The graph shows the volume of air in a balloon as you blow it up, until it pops. What are the variables? Describe how the variables are related at various points on the graph.
How can you analyze the relationship in a graph?
Read the titles. The axis titles tell you what variables are related. The graph itself represents the relationship as the variables change.
The variables are volume and time. The volume increases each time you blow, and it stays constant each time you pause to breathe. When the balloon pops in the middle of the fourth blow, the volume decreases to 0.