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Unit 4

Unit 4. Rates Ratios Proportions. Please select a Team. 4. 5. 2. 1. 3. Beast Belle Chip & Mrs. Potts Cogsworth Lumiere. 1. In a recent survey, students preferred gym class to art class by a ratio of 5 to 2. What fraction of students in the survey prefer gym class over art class?.

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Unit 4

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  1. Unit 4 Rates Ratios Proportions

  2. Please select a Team. 4. 5. 2. 1. 3. • Beast • Belle • Chip & Mrs. Potts • Cogsworth • Lumiere

  3. 1. In a recent survey, students preferred gym class to art class by a ratio of 5 to 2. What fraction of students in the survey prefer gym class over art class? • 2/5 • 5/7 • 5/2 • 2/3 Response Grid

  4. 2. At Big Bruno’s Deli, you can get 6 sandwiches for $8.00. What is the cost of each individual sandwich? • $0.75 • $1.25 • $1.33 • $3.50 Response Grid

  5. 3. Sarah rides her bike 10.5 miles in 3.5 hours. What is her unit rate? • 2.33 miles per hour • 0.333 miles per hour • 3 miles per hour Response Grid

  6. 4. Carlos walked 15 miles in 3.5 hours. Melody walked 13 miles in 3 hours. Who walked faster? • Melody • Carlos Response Grid

  7. 5. Which of the following statements is not true? • The slope is the unit rate. • The slope is the change in x divided by the change in y. • The unit rate is the constant of proportionality. Response Grid

  8. Team Scores

  9. 6. Which equation represents a proportional relationship? • y = 6x • y = 2x – 5 • y = 6 + x • y = (-3)x + 5 Response Grid

  10. 7. What is the constant of proportionality? • 2400 wpm • 1600 wpm • 800 wpm • 40 wpm Response Grid

  11. 8. Solve for n. • 4 • 12 • 192 • 16 Response Grid

  12. Team Scores

  13. What percentage of your current points would you like to wager on the next question? • 0% 25% 50% 75% 100% Response Grid

  14. 9. The equation y = 2.8x represents the total price of gasoline purchased for x gallons. If this equation were graphed on a coordinate plane then what would the point (6, 16.80) represent? • The constant of proportionality is $6. • 6 gallons cost $16.80. • 16.80 gallons cost $6. Response Grid

  15. Team Scores

  16. 10. Jenny babysits her nephews and she is paid hourly. Write an equation Jenny can use to determine her total earnings babysitting. • Y = $25.50x • Y = $8.50x • Y = $25.50 + x • Y = $8.50 + x Response Grid

  17. 11. Solve for x. • 12 • 48 • 576 • 0.3333 Response Grid

  18. 12. Which of the following represents a proportional relationship? 3. • Picture Choice 1 • Picture Choice 2 • Picture Choice 3 • Picture Choice 4 1. 4. 2. Response Grid

  19. 13. For which statement is the constant of proportionality equal to 9? • Betty lost 9 pounds in 9 weeks. • Sara drove 720 miles in 8 hours. • There are 90 boxes on 10 shelves. • There are 900 people in 90 rows. Response Grid

  20. 14. An airplane flies at a constant speed and travels a distance of 495 miles in 55 minutes. Which equation represents the given proportional relationship? • Y = 55x • Y = 9x • X = 55y • X = 9y Response Grid

  21. 15. What does the point (1, r) represent? • Unit rate • Constant of proportionality • Slope • All of the above Response Grid

  22. 16. A hospital wants to keep a proportion of nurses to doctors on its staff. There are currently 36 nurses and 9 doctors on staff. If two doctors are added to the staff then how many nurses will need to be added? • 44 • 8 • 396 Response Grid

  23. Team Scores

  24. What percentage of your current points would you like to wager on the next question? • 0% 25% 50% 75% 100% Response Grid

  25. 17. Two trains travel across the country. The distance of train A is represented in the graph. Train B travels at a distance of y kilometers for x hours and is represented by the equation y = 200x + 100. Which of the following statements is not true? • Both trains are travelling at the same rate of speed. • Both the graph and the equation represent a proportional relationship. • Both trains have a slope of 200.

  26. Participant Scores

  27. Team Scores

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