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Persons taking a 30-hour review course to prepare for a standardized

Question : Persons taking a 30-hour review course to prepare for a standardized : 2160158

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

1) Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 751. Find a linear equation in slope-intercept form which fits this data.

A) y = 2.95x - 525.6

B) y = 3.28x + 521.6

C) y = 2.95x + 525.6

D) y = -3.28x + 521.6

2) The total spending of a city government has increased approximately linearly from $1.7 million in year 6 to $4.1 million in year 16. Let s be the total spending (in millions of dollars) at t years. Find an equation of a linear model to describe the data.

A) s = 0.24t + 0.26

B) s = 0.24t - 477.34

C) s = -0.24t + 3.14

D) s = 4.17t - 23.3

3) The average total sales of individuals in the sales department at a paper company has decreased approximately linearly from $164 thousand in year 1 to $130 thousand in year 5. Let s be the average total sales (in thousands of dollars) at t years. Find an equation of a linear model to describe the data.

A) s = 8.5t + 155.5

B) s = -8.5t + 172.5

C) s = -8500t + 164,000

D) s = -8.5t + 155.5

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

4) Consider the graph of the data and the model y = mx + b. Sketch the graph of a linear model that better describes the data and then explain how you would adjust the slope and the y-intercept of the original model so that it would better describe the data.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

5) Find an equation of a line that comes close to the points listed in the table.

A) y = 1.25x + 8

B) y = 0.92x + 0

C) y = 1.03x + 0.16

D) y = 5x + 4

6) The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at year t. Find an equation of a linear model to describe the data.

A) C = t - 18.02

B) C = 3t + 17.6

C) C = 0.97t + 18.41

D) C = 0.97t - 1824.59

7) Attendance has been increasing for a minor league hockey team as they have had more success. The percentage of the seats filled in different years is given in the table. Let p be the percentage of seats filled at year t. Find an equation of a linear model to describe the data.

A) p = 3t - 5940

B) p = 2.35t + 9.4

C) p = 2.9t + 62.9

D) p = 2.31t + 60.81

8) Draw a scatterplot of the given data. Find the equation of the line containing the points (1, 1.1) and (9, 4.5). Graph the line on the scatterplot.

A) y = 0.47x + 0.68

B) y = 0.43x + 0.68

C) y = 0.37x + 0.73

D) y = 0.45x + 0.63

9) Draw a scatterplot of the given data. Find the equation of the line containing the points (2.2, 8.3) and (4.4, 3.0). Graph the line on the scatterplot.

A) y = -2.65x + 14.1

B) y = 2.41x + 13.6

C) y = -1.75x + 10.7

D) y = -2.4090909x + 13.6

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

10) The following data represents the height (in inches) and weight (in pounds) of 9 randomly selected adults. Graph the data on a scatterplot treating height as the independent variable. Find an equation of the line containing the points (62, 124) and (70, 181). Graph the line on the scatterplot. Interpret the slope of the line. Use the line to predict the weight of a person who is 62.6 inches tall. Round to the nearest pound.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

11) Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 803. Find a linear equation which fits this data, and use this equation to predict an average score for persons taking a 52-hour review course. Round your answer to the tenths place.

A) 713.4

B) 734.7

C) 724.9

D) 720.7

12) The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 34 months assuming the sales increased approximately linearly.

A) $91,620

B) $91,650

C) $91,692

D) $91,750

13) In 2011, John invested $42,000 in the stock market. By 2016 his investment had grown to $43,000. If the market continues to grow approximately linearly, how much will be in his account in 2022? Give your answer to the nearest dollar.

A) $43,201

B) $44,000

C) $43,001

D) $44,200

14) In 1980 the population of a midwest city was 24,000. By 2010 it had grown to 28,000. If it continues to grow approximately linearly, what will the population be in 2045? Give your answer to the nearest whole number.

A) 28,002

B) 32,000

C) 32,801

D) 36,800

15) The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at t years since 2002. C = 0.97t + 18.41 can be used to model the data.

What is the slope and what does it mean in this situation?

A) 1.8; Every 1.8 years the average per-person consumption increases.

B) 0.97; Each year the average consumption is increased by 0.97 hot dogs per person.

C) 18.41; Each year the average consumption is increased by 18.41 hot dogs per person.

D) 0.97; Each year the average per-person consumption is 97% of the previous year's average per-person consumption.

16) The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at t years since 2002. C = 0.97t + 18.41 can be used to model the data.

What is the C-intercept and what does it mean in this situation?

A) (-18.98,0); In 2021 the average consumption will be 0 hot dogs per-person.

B) (0, 18.41); In 2002 the average consumption was 18.41 hot dogs per-person.

C) (0, 0.97); In 2002 the average consumption was 0.97 hot dogs per-person.

D) (0, 18.41); Each year the average consumption is increased by 18.41 hot dogs per person.

17) The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at t years since 2002. C = 0.97t + 18.41 can be used to model the data.

What is the t-intercept and what does it mean in this situation?

A) (0, 18.41); In 2002 the average consumption was 18.41 hot dogs per-person.

B) (-18.98,0); In 2002 the average consumption was 18.98 hot dogs per-person.

C) (0.05, 0); Each year the average consumption is increased by 0.05 hot dogs per person.

D) (-18.98,0); In 1983 the average consumption was 0 hot dogs per-person.

18) The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at t years since 2002. C = 0.97t + 18.41 can be used to model the data.

Predict the average per-person annual consumption of hot dogs in 2009.

A) 1967.14 hot dogs per person

B) 15.19 hot dogs per person

C) 25.2 hot dogs per person

D) 27.79 hot dogs per person

19) Attendance has been increasing for a minor league hockey team as they have had more success. The percentage of the seats filled in different years is given in the table. Let p be the percentage of seats filled each year that is t years since 2012. p = 2.31t + 60.81 can be used to model the data.

Predict the percentage of seats filled in 2022.

A) 73.28% of seats filled

B) 100% of seats filled

C) 83.91% of seats filled

D) 22% of seats filled

20) Attendance has been increasing for a minor league hockey team as they have had more success. The percentage of the seats filled in different years is given in the table. Let p be the percentage of seats filled each year that is t years since 2012. p = 2.31t + 60.81 can be used to model the data.

Predict when they will have 100% of the seats filled.

A) In 2082

B) In 2023

C) In 2029

D) In 2049

 

Solution
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