Unit 5
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Transcript of Unit 5
Unit 5
RatesRatios
Proportions
Please select a Team.
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1. Beast2. Belle3. Chip & Mrs.
Potts4. Cogsworth5. Lumiere
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5.
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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1. 2/52. 5/73. 5/24. 2/3
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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
Sarah rides her bike 10.5 miles in 3.5 hours. What is her unit rate?
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1. 2.33 miles per hour
2. 0.333 miles per hour
3. 3 miles per hour
Carlos walked 15 miles in 3.5 hours. Melody walked 13 miles in 3 hours. Who walked faster?
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1. Melody2. Carlos
Which of the following statements is not true?
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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.
Team Scores3.56 Chip & Mrs. Potts
3.2 Lumiere
2.9 Cogsworth
2.4 Beast
Which equation represents a proportional relationship?
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1. y = 6x2. y = 2x – 53. y = 6 + x4. y = (-3)x + 5
What is the constant of proportionality?
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1. 2400 wpm2. 1600 wpm3. 800 wpm4. 40 wpm
Solve for n.
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1. 42. 123. 1924. 16
Team Scores6.33 Chip & Mrs. Potts
6 Lumiere
5.7 Cogsworth
5.2 Beast
What percentage of your current points would you like to wager on the next question?
1. 0%2. 25%3. 50%4. 75%5. 100%
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?
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1. The constant of proportionality is $6.
2. 6 gallons cost $16.80.
3. 16.80 gallons cost $6.
Team Scores13.33 Chip & Mrs. Potts
11.65 Cogsworth
11.45 Lumiere
8.25 Beast
Jenny babysits her nephews and she is paid hourly. Write an equation Jenny can use to determine her total earnings babysitting.
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Total $25.50 $34 $42.50 51
1. Y = $25.50x2. Y = $8.50x3. Y = $25.50 + x4. Y = $8.50 + x
Solve for x.
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1. 122. 483. 5764. 0.3333
Which of the following represents a proportional relationship?
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1. Picture Choice 12. Picture Choice 23. Picture Choice 34. Picture Choice 4
For which statement is the constant of proportionality equal to 9?
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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.
An airplane flies at a constant speed and travels a distance of 495 miles in 55 minutes. Which equation represents the given proportional relationship?
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1. Y = 55x2. Y = 9x3. X = 55y4. X = 9y
What does the point (1, r) represent?
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1. Unit rate2. Constant of
proportionality3. Slope4. All of the above
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?
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1. 442. 83. 396
Team Scores20 Chip & Mrs. Potts
18.25 Lumiere
18.15 Cogsworth
14.65 Beast
What percentage of your current points would you like to wager on the next question?
1. 0%2. 25%3. 50%4. 75%5. 100%
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?
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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 Scores45 Participant 11
45 Participant 3
45 Participant 14
43 Participant 12
43 Participant 25
Fastest Responders (in seconds)
33.81 Participant 14
58.53 Participant 20
78.48 Participant 19
80.97 Participant 33
89.32 Participant 23
Team Scores17.19 Chip & Mrs. Potts
16.76 Lumiere
15.55 Beast
10.33 Cogsworth