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IM: 8.3.2: Graphs of Proportional Relationships (Lesson)

Last updated 9 months ago
10 questions
2.1: An Unknown Situation
Here is a graph that could represent a variety of different situations.

1

Write an equation for the graph.

1

Sketch a new graph of this relationship.

2.2: Card Sort: Proportional Relationships
Your teacher will give you 12 graphs of proportional relationships.
Sort the graphs into groups based on what proportional relationship they represent.
1

Write an equation for each different proportional relationship you find.

2.3: Different Scales
Two large water tanks are filling with water. Tank A is not filled at a constant rate, and the relationship between its volume of water and time is graphed on each set of axes. Tank B is filled at a constant rate of 1/2 liters per minute. The relationship between its volume of water and time can be described by the equation v=\frac{1}{2} t, where t is the time in minutes and v is the total volume in liters of water in the tank.


1

Sketch and label a graph of the relationship between the volume of water and time for Tank B on each of the axes.

Answer the following questions and say which graph you used to find your answer.
1

After 30 seconds, which tank has the most water?

1

At approximately what times do both tanks have the same amount of water?

1

At approximately what times do both tanks contain 1 liter of water? 20 liters?

Are you ready for more?
A giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour.
1

Draw separate graphs that show the relationship between time elapsed, in hours, and distance traveled, in miles, for both the tortoise and the hare.

1

Would it be helpful to try to put both graphs on the same pair of axes? Why or why not?

1

The tortoise and the hare start out together and after half an hour the hare stops to take a rest. How long does it take the tortoise to catch up?