Unit 5, Lesson 6
Even More Graphs of Functions
Grade 8
6.1
Warm-up
Here are five pictures of a dog taken at equal intervals of time.
Diego and Lin drew different graphs to represent this situation:
They both used time as the independent variable. What do you think each one used for the dependent variable? Explain your reasoning.
6.2
Activity
For each situation,
- Name the independent and dependent variables.
- Pick the graph that best fits the situation, or sketch the graph if one isn't provided.
- Label the axes.
- Answer the following question: Which quantity is a function of which? Be prepared to explain your reasoning.
- Jada is training for a swimming race. The more she practices, the less time it takes for her to swim one lap.
- Andre adds some money to a jar in his room each week for 3 weeks and then takes some out in week 4.
Student Lesson Summary
Here is a graph showing Andre's distance as a function of time.
For a graph representing a context, it is important to specify the quantities represented on each axis. For example, if this is showing distance from home, then Andre starts at some distance from home (maybe at his friend’s house), moves farther away (maybe to a park), then returns home.
If instead the graph is showing distance from school, the story may be Andre starts out at home, moves farther away (maybe to a friend's house), then goes to school.
What could the story be if the graph is showing distance from a park?
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