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Unit 4
RatesRatios
Proportions
Please select a Team.
1 2 3 4 5
0% 0% 0%0%0%
1. Beast2. Belle3. Chip & Mrs.
Potts4. Cogsworth5. Lumiere
1.
2.
3.
4.
5.
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?
1 2 3 4
0% 0%0%0%
1. 2/52. 5/73. 5/24. 2/3
Response Grid
1 2 3 4
0% 0%0%0%
2. At Big Bruno’s Deli, you can get 6 sandwiches for $8.00. What is the cost of each individual sandwich?
1. $0.752. $1.253. $1.334. $3.50
Response Grid
3. Sarah rides her bike 10.5 miles in 3.5 hours. What is her unit rate?
1 2 3
0% 0%0%
1. 2.33 miles per hour
2. 0.333 miles per hour
3. 3 miles per hourResponse Grid
4. Carlos walked 15 miles in 3.5 hours. Melody walked 13 miles in 3 hours. Who walked faster?
1 2
0%0%
1. Melody2. Carlos
Response Grid
5. Which of the following statements is not true?
1 2 3
0% 0%0%
1. The slope is the unit rate.
2. The slope is the change in x divided by the change in y.
3. The unit rate is the constant of proportionality.
Response Grid
Team Scores3.99 Cogsworth
3.83 Beast
3.4 Belle
3.25 Lumiere
2.5 Chip & Mrs. Potts
6. Which equation represents a proportional relationship?
1 2 3 4
0% 0%0%0%
1. y = 6x2. y = 2x – 53. y = 6 + x4. y = (-3)x + 5
Response Grid
7. What is the constant of proportionality?
1 2 3 4
0% 0%0%0%
1. 2400 wpm2. 1600 wpm3. 800 wpm4. 40 wpm
Response Grid
8. Solve for n.
1 2 3 4
0% 0%0%0%
1. 42. 123. 1924. 16
Response Grid
Team Scores6.91 Cogsworth
6.67 Beast
6.2 Belle
5.88 Lumiere
5.5 Chip & Mrs. Potts
What percentage of your current points would you like to wager on the next question?
0%
25%
50%
75%1. 100%
Response Grid
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?
1 2 3
0% 0%0%
1. The constant of proportionality is $6.
2. 6 gallons cost $16.80.
3. 16.80 gallons cost $6. Response Grid
Team Scores13.46 Beast
12.41 Cogsworth
11.5 Chip & Mrs. Potts
8.5 Lumiere
7.4 Belle
10. Jenny babysits her nephews and she is paid hourly. Write an equation Jenny can use to determine her total earnings babysitting.
1 2 3 4
0% 0%0%0%
Time4 3 4 5 6
Total $25.50 $34 $42.50 511. Y = $25.50x2. Y = $8.50x3. Y = $25.50 + x4. Y = $8.50 + x
Response Grid
11. Solve for x.
1 2 3 4.
0% 0%0%0%
1. 122. 483. 5764. 0.3333
Response Grid
12. Which of the following represents a proportional relationship?
1 2 3 4
0% 0%0%0%
1.
2.
3.
4.
1. Picture Choice 12. Picture Choice 23. Picture Choice 34. Picture Choice 4
Response Grid
13. For which statement is the constant of proportionality equal to 9?
1 2 3 4
0% 0%0%0%
1. Betty lost 9 pounds in 9 weeks.2. Sara drove 720 miles in 8
hours.3. There are 90 boxes on 10
shelves.4. There are 900 people in 90
rows.
Response Grid
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?
1 2 3 4
0% 0%0%0%
1. Y = 55x2. Y = 9x3. X = 55y4. X = 9y
Response Grid
15. What does the point (1, r) represent?
1 2 3 4
0% 0%0%0%
1. Unit rate2. Constant of
proportionality3. Slope4. All of the above
Response Grid
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?
1 2 3
0% 0%0%
1. 442. 83. 396
Response Grid
Team Scores20.46 Beast
18.99 Cogsworth
18.5 Chip & Mrs. Potts
14.75 Lumiere
13.4 Belle
What percentage of your current points would you like to wager on the next question?
0%
25%
50%
75%1. 100% Response Grid
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?
1 2 3
0% 0%0%
1. Both trains are travelling at the same rate of speed.
2. Both the graph and the equation represent a proportional relationship.
3. Both trains have a slope of 200.
Participant Scores49 Participant 22
45 Participant 9
45 Participant 15
45 Participant 20
41 Participant 27
Team Scores25.63 Lumiere
24.38 Chip & Mrs. Potts
24.37 Cogsworth
20.08 Beast
16.6 Belle