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Questions and Answers
1.
Buffalo Wings-R-Us is running a promotion on their rib baskets for $5.00 each. Shelby decided to use her $50 gift card to buy rib baskets for herself and her friends. This situation can be represented by the equation g = 50 – 5r.
Which of the following statements is NOT true for this relationship?
A.
As the number of rib baskets purchased increases, the amount of money remaining on the gift card decreases.
B.
The number of rib baskets depends on the amount of money left on the gift card.
C.
The variable g in the equation represents the amount of money left on the gift card.
D.
The ordered pair (6, 20) fits this scenario and equation.
Correct Answer B. The number of rib baskets depends on the amount of money left on the gift card.
Explanation The given equation represents the relationship between the amount of money left on the gift card (represented by the variable g) and the number of rib baskets purchased (represented by the variable r). It shows that as the number of rib baskets purchased increases, the amount of money remaining on the gift card decreases. Therefore, the statement "The number of rib baskets depends on the amount of money left on the gift card" is not true. The number of rib baskets purchased does not depend on the amount of money left on the gift card, but rather the other way around.
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2.
Buffalo Wings-R-Us is running a promotion on their rib baskets for $5.00 each. Shelby decided to use her $50 gift card to buy rib baskets for herself and her friends. This situation can be represented by the equation g = 50 – 5r.
What does the ordered pair (10, 0) mean in this relationship?
A.
If Shelby purchases 0 rib baskets, she will have $10 remaining on her gift card.
B.
If Shelby purchases 0 rib baskets, she will have $40 remaining on her gift card.
C.
If Shelby purchases 10 rib baskets, her gift card will be worth $10.
D.
If Shelby purchases 10 rib baskets, her gift card will be worth $0.
Correct Answer D. If Shelby purchases 10 rib baskets, her gift card will be worth $0.
Explanation The ordered pair (10, 0) means that if Shelby purchases 10 rib baskets, her gift card will be worth $0. This is because each rib basket costs $5 and Shelby's gift card has a value of $50. So, if she buys 10 rib baskets, she would have spent $50 and her gift card would have a remaining value of $0.
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3.
Buffalo Wings-R-Us is running a promotion on their rib baskets for $5.00 each. Shelby decided to use her $50 gift card to buy rib baskets for herself and her friends. This situation can be represented by the equation g = 50 – 5r.
Predict what would happen if Shelby purchased 15 rib baskets?
A.
She would have $7 remaining on the gift card.
B.
She would have $35 remaining on the gift card.
C.
She would have overspent by $15.
D.
She would have overspent by $25.
Correct Answer D. She would have overspent by $25.
Explanation If Shelby purchased 15 rib baskets, the equation g = 50 - 5r can be used to calculate the remaining balance on her gift card. Plugging in r = 15, we get g = 50 - 5(15) = 50 - 75 = -25. This means that Shelby would have overspent by $25, as her gift card balance would be negative.
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4.
Which relationship below describes a positive correlation?
A.
The amount of time I exercise and the calories that I burn.
B.
The number of times I brush my teeth each day and the number of cavities I have.
C.
The age of a tadpole and the length of its tail.
D.
The amount of time I spend studying and number of cupcakes I eat.
Correct Answer A. The amount of time I exercise and the calories that I burn.
Explanation The relationship between the amount of time I exercise and the calories that I burn is a positive correlation. This means that as the amount of time I exercise increases, the number of calories I burn also increases.
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5.
The scatterplot below shows the test scores and hours of study for a sample of college students.
About how many hours of study should a college student expect to spend to earn a test
score of 90?
A.
25 hours
B.
40 hours
C.
30 hours
D.
35 hours
Correct Answer D. 35 hours
Explanation Based on the scatterplot, it can be observed that as the hours of study increase, the test scores also tend to increase. Therefore, to earn a test score of 90, a college student should expect to spend around 35 hours of study, as this is the approximate point on the scatterplot where the test score reaches 90.
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6.
The scatterplot below shows the test scores and hours of study for a sample of college students.
If a student spends 26 hours studying, what test score should he expect to earn?
A.
Between 85 and 95
B.
Between 75 and 85
C.
Between 65 and 75
D.
Not enough information is given to determine the test score
Correct Answer B. Between 75 and 85
Explanation Based on the scatterplot, we can see that as the number of hours spent studying increases, the test scores tend to increase as well. Since the student spends 26 hours studying, we can estimate that his test score would fall within the range of scores between 75 and 85.
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7.
The scatterplot below shows the test scores and hours of study for a sample of college students.
A student wants to earn a test score of 95. Predict how many hours he should expect to study.
A.
About 40 hours
B.
About 35 hours
C.
About 50 hours
D.
About 33 hours
Correct Answer A. About 40 hours
Explanation Based on the scatterplot, there is a positive linear relationship between test scores and hours of study. As the test score increases, the number of hours of study also tends to increase. Therefore, if the student wants to earn a test score of 95, they should expect to study approximately 40 hours based on the trend shown in the scatterplot.
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8.
Jason rides his bike at a rate of 12 miles per hour for 36 miles as shown in the graph below
Which of the following statements is NOT true about this scenario?
A.
The domain is from 0 to 3 hours, inclusive
B.
The range is from 0 to 36 miles, inclusive.
C.
The data for this scenario is continuous.
D.
The data for this scenario is discrete.
Correct Answer D. The data for this scenario is discrete.
Explanation The data for this scenario is continuous because Jason's bike ride is measured in miles per hour, which represents a continuous range of values.
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9.
Michelle needs to sell 8 magazine subscriptions to attend the fundraising party and she plans to only sell 8 magazines. Each subscription costs $10. The graph below shows this relationship
Which of the following statements is true about this relationship?
A.
The data for this relationship is continuous.
B.
The data for this relationship is discrete.
C.
The domain is $0 to $80, inclusive.
D.
The range is 0 to 8 magazines, inclusive.
Correct Answer B. The data for this relationship is discrete.
Explanation The given relationship between the number of magazine subscriptions sold and the cost is discrete because the number of subscriptions can only take on whole number values and cannot be divided further. The relationship is not continuous because there are distinct, separate values represented on the graph.
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10.
Abby took a trip to see her aunt and uncle in Lubbock, Texas. The graph below represents her trip.
Which of the following describes the correct domain and range for the situation above?
A.
Domain: The distance is from 0 to 600 miles.
Range: The time is from 0 to 10 hours.
B.
Domain: The time is from 0 to 10 hours.
Range: The distance is from 0 to 600 miles.
C.
Domain: The time is from 0 to 11 hours.
Range: The distance is from 0 to 600 miles.
D.
Domain: The time is from 0 to 11 hours.
Range: The distance is from 0 to 400 miles.
Correct Answer B. Domain: The time is from 0 to 10 hours.
Range: The distance is from 0 to 600 miles.
Explanation The correct answer describes the domain as the time being from 0 to 10 hours and the range as the distance being from 0 to 600 miles. This means that the graph represents Abby's trip in terms of time (x-axis) and distance (y-axis). The x-axis represents the time she spent traveling, ranging from 0 to 10 hours, and the y-axis represents the distance she traveled, ranging from 0 to 600 miles.
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11.
Austin collected the data below in a survey he conducted with 9^{th} graders.
If he entered the data into the lists of his graphing calculator, which window settings would be
appropriate for his survey data?
A.
X min = 50, x max = 75, y min = 0, y max = 15
B.
X min = 60, x max = 75, y min = 5, y max = 10
C.
X min = 0, x max = 65, y min = 0, y max = 10
D.
X min = 0, x max = 15, y min = 50, y max = 75
Correct Answer A. X min = 50, x max = 75, y min = 0, y max = 15
Explanation The appropriate window settings for Austin's survey data would be x min = 50, x max = 75, y min = 0, y max = 15. These settings ensure that the x-axis ranges from 50 to 75, which covers the range of values for the data collected. The y-axis ranges from 0 to 15, which allows for a clear visualization of the data without cutting off any data points.
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12.
The scatterplot below shows the gas mileage and weight of different vehicles.
Which of the following is the best interpretation of this scattterplot?
A.
As the weight of the vehicle increases, the gas mileage stays the same.
B.
Vehicles that weigh the least seem to have higher gas mileage.
C.
Vehicles that weigh the most seem to have higher gas mileage.
D.
As the weight of the vehicle decreases, the gas mileage stays the same.
Correct Answer B. Vehicles that weigh the least seem to have higher gas mileage.
Explanation The scatterplot shows a negative correlation between the weight of the vehicles and their gas mileage. As the weight of the vehicle decreases, the gas mileage tends to increase. This can be observed by the trend of the data points, where the lighter vehicles tend to have higher gas mileage. Therefore, the best interpretation of the scatterplot is that vehicles that weigh the least seem to have higher gas mileage.
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13.
Which of the following are the domain and range for the graph shown below?
A.
B.
C.
D.
Correct Answer D.
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