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Unit 5 - Lesson 4 - Grade 8: Illustrative Mathematics

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18 Questions
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Grade 8 Unit 5
Lesson 4: Tables, Equations, and Graphs of Functions
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 5
Lesson 4: Tables, Equations, and Graphs of Functions
CC BY 2021 Illustrative Mathematics®
Lesson: Tables, Equations, and Graphs of Functions

Notice and Wonder: Doubling Back (Warm Up)

1.

What do you notice? What do you wonder?


Equations and Graphs of Functions

The graphs of three functions are shown.
2.

Match the equation to its graph.

3.

Match the equation to its graph.

4.

Match the equation to its graph.

5.

  • Label each of the axes with the independent and dependent variables and the quantities they represent.
  • For each function: What is the output when the input is 1? What does this tell you about the situation? Label the corresponding point on the graph.
  • Find two more input-output pairs. What do they tell you about the situation?


Running Around a Track

Kiran was running around the track. The graph shows the time, t, he took to run various distances, d. The table shows his time in seconds after every three meters.


6.

How long did it take Kiran to run 6 meters?

7.

How far had he gone after 6 seconds?

8.

Estimate when he had run 19.5 meters.

9.

Estimate how far he ran in 4 seconds.

10.

Is Kiran's time a function of the distance he has run? Explain how you know.

Priya is running once around the track. The graph shows her time given how far she is from her starting point.

11.

What was her farthest distance from her starting point?

12.

Estimate how long it took her to run around the track.

13.

Estimate when she was 100 meters from her starting point.

14.

Estimate how far she was from the starting line after 60 seconds.

15.

Is Priya's time a function of her distance from her starting point? Explain how you know.

Cool Down: Subway Fare Card

Subway Fare Card

Here is the graph of a function showing the amount of money remaining on a subway fare card as a function of the number of rides taken.

16.

What is the output of the function when the input is 10? On the graph, plot this point and label its coordinates.

17.

What is the input to the function when the output is 5? On the graph, plot this point and label its coordinates.

18.

What does point P tell you about the situation?