1. Prebell
Armand has 85 snap cubes. What are the dimensions of the largest cube he can make? How many snap cubes will he have left over?
The graph above shows the distance two cars have traveled along the highway over a period of several seconds. Car A is traveling 30 meters per second.
Which equation best describes the distance of Car B after x seconds? Explain how you know.

2. Proportional Relationships
When 𝑥 and 𝑦 are proportional…
The relationship can be represented by 𝑦=𝑚𝑥
𝑚 is the constant of proportionality and the unit rate
The graph has a slope of 𝑚 and passes through the origin.

3. Are x and y in a proportional relationship? How do you know?

4. Are x and y in a proportional relationship? How do you know?

5. Are x and y in a proportional relationship? How do you know?

6. Are x and y in a proportional relationship? How do you know?

7. Are x and y in a proportional relationship? How do you know?

8. Are x and y in a proportional relationship? How do you know?

9. The cost y (in dollars) for x gigabytes of data on an Internet plan is represented by 𝑦=10𝑥. Graph the equation and interpret the slope.

10. The weight y of an object on Titan, one of Saturn’s moons, is proportional to the weight x of an object on Earth. An object that weighs 105 pounds on Earth would weigh 15 pounds on Titan.
Write an equation that represents the situation.
How much would a chunk of ice that weighs 3.5 pounds on Titan weigh on Earth?

11. The distance y (in meters) that a four-person ski lift travels in x seconds is represented by the equation 𝑦=2.5𝑥. The graph shows the distance that a two-person ski lift travels.
Which ski lift is faster?

12. Graph the equation that represents the four- person lift in the same coordinate plane as the two-person lift. Compare the steepness of the graphs. What does this mean in the context of the problem?

13. The cost y (in dollars) to rent x video games is represented by 𝑦=4𝑥
The cost y (in dollars) to rent x video games is represented by 𝑦=4𝑥. Graph the equation and interpret the slope.

14. The daily wage y (in dollars) of a factory worker is proportional to the number of parts x assembled in a day. A worker who assembles 250 parts in a day earns $75.
Write an equation that represents the situation.
How much does a worker earn who assembles 300 parts in a day?

15. At a track event, the distance y (in meters) traveled by Student A in x seconds is represented by the equation 𝑦=7𝑥. The graph shows the distance traveled by Student B.
Which student is faster?
Graph the equation that represents Student A in the same coordinate plane as Student B. Compare the steepness of the graphs. What does this mean in the context of the problem?

16. Unit Rate

17. Learning Objective: I can calculate a unit rate given a graph.

18. What is the rate traveled?

19. What is cost per pound?

20. What is the rate traveled?

21. What is cost per ounce?

22. What is the rate traveled?

23. Your Turn!
Work with your group in the Carousel Activity to answer the problems hanging around the room.
You have 2 minutes to interpret the unit rate for each graph.
Record your answers on the paper provided.

24. A. What is rate traveled?

25. B. What is the cost per pound?

26. C. What is the heartrate?

27. D. How many miles per gallon?

28. E. How many minutes per mile?

29. F. How much flour per dozen?

30. G. How much earned per hour?

31. H. Price per burger?

32. Self Assessment Please complete the problem and the self assessment.
Turn in as you exit the class.