1.The two-way frequency table contains data about students' preferred exercise.

	Enjoys swimming	Enjoys cycling	Row totals
Likes running	28	62	90
Does not like running	46	64	110
Column totals	74	126	200

What is the joint relative frequency of students who do not like to run and enjoy swimming?

23%

37%

46%

72%

2.The following tree heights were recorded on a school campus: 61, 72, 84, 88, 77, 67, 76, 79, 63, 79, 69, 70, 86, 78, 82, 82, 80, 73, 87, 90, 73, 76, 79, 71, 75, 79, 76, 83, 84, 87, 72, 81, 89, 74, 77, 78, 81, 84 A science teacher wants to choose a data display that will highlight the lower quartile, upper quartile, and median for this data. Which display will present the information in this way?

Box plot

Bar chart

Dot plot

Histogram

3.The scatter plot shows the number of DVDs Aaron sold in different months: plot ordered pairs 1, 20 and 2, 50 and 3, 80 and 4, 110 and 5, 140

What is the approximate predicted number of DVDs Aaron will sell in the 13th month?

380

390

400

420

4.An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.

a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75

17 hours

68 dollars

17 dollars per hour per hour

68 dollars per hour per hour

5.College freshmen were asked if they were currently enrolled in Composition I. The results are shown in the table.

	Enrolled in Composition I	Not enrolled in Composition I	Row Totals
Males	89
Females		46	127
Column Totals	170		251

How many males are currently not enrolled in Composition 1?

35

46

89

124

6.The display summarizes home sales in the months from September to December. Segmented bar chart titled home sales with four vertical bars. Each bar is divided into two parts, less than $150,000 and $150,000 or more. For September, less than $150,000 is 0 to 40 percent and $150,000 or more is 40 to 100 percent. For October, less than $150,000 is 0 to 45 percent and $150,000 or more is 45 to 100 percent. For November, less than $150,000 is 0 to 55 percent and $150,000 or more is 55 to 100 percent. For December, less than $150,000 is 0 to 68 percent and $150,000 or more is 68 percent to 100 percent.

Which of the following describes the data set?

The data is univariate and categorical.

The data is univariate and numerical.

The data is bivariate and categorical.

The data is bivariate and numerical.

7.A scatter plot is made to model the number of boxes of cereal in Jason's store on different days. The data used for the scatter plot are shown in the table. Assume that new boxes are not bought to replace the boxes sold:

Days	5	3	8	6	0	4
Number of cereal boxes sold	50	70	20	40	100	60

What does the slope of the model represent?

The price of each box of cereal

The original number of cereal boxes sold

The number of cereal boxes sold on the first day

The number of cereal boxes sold per day

8.Sarah described the following situation: When more apples grew in the backyard, the pet cat stayed indoors for a longer time. Which of the following best describes the situation?

This is an example of correlation because there is an obvious relationship between the two scenarios.

This is an example of causation because apples cause cats to stay indoors.

This is an example of correlation because apples cause cats to stay indoors.

This is an example of causation because cats dislike apples.

9.A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

	Likes hamburgers	Does not like hamburgers	Total
Likes burritos	29	41
Does not like burritos		54	135
Total	110		205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work.

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work.

Part C: Which category has the lowest joint relative frequency? Show all work.

10.A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:

Number of hours of sunlight (x)	0	1	2	3	4	5	6	7	8	9
Height of plant in cm (y)	4	7	10	13	16	19	22	25	28	31

Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer.

Part B: Write function that best fits the data.

Part C: What do the slope and y-intercept of the plot indicate about the plant?

11.The functions f(x) and g(x) are described using the following equation and table: f(x) = 2(1.07)^x

x	g(x)
4	10
2	7
0	4
2	1

Which equation best compares the y-intercepts of f(x) and g(x)?

The y-intercept of f(x) is equal to the y-intercept of g(x).

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).

The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

12.Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows for the data collected:

Favorite Superhero
	Superman	Spiderman	Batman	Wonder Woman	Row totals
Boys	0.31	0.25	0.06	0.01	0.63
Girls	0.03	0.17	0.07	0.10	0.37
Column totals	0.34	0.42	0.13	0.11	1

Based on the data, which superhero is most likely to be the favorite?

Superman

Spiderman

Batman

Wonder Woman

13. What are the vertex and range of y = |x + 2| 6?

(2, 6); 6 y <

(2, 6); < y <

(2, 6); 6 y <

(2, 6); < y <

14.A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x 100 and 0 < y 300

x > 0 and y > 0

0 < x 100 and y > 300

0 < x and y < 100

15.Graph the line 2x 3y = 12.

The graph shows a line through the points 0 comma 4 and 6 comma 0.

The graph shows a line through the points 0 comma negative 4 and 6 comma 0.

The graph shows a line through the points 0 comma 4 and negative 6 comma 0.

The graph shows a line through the points 0 comma negative 4 and negative 6 comma 0.

16.Simplify the fourth root of three over the fifth root of three.

three raised to the one twentieth power

three raised to the nine twentieths power

three raised to the five fourths power

three raised to the one fifth power

17.Eileen has a greenhouse and is growing orchids. The table shows the average number of orchids that bloomed over a period of four months:

Month	1	2	3	4
Orchids	11	12.4	13.8	15.2

Did the number of orchids increase linearly or exponentially?

Linearly, because the table shows that the orchids increased by the same amount each month

Linearly, because the table shows a constant percentage increase in orchids each month

Exponentially, because the table shows that the orchids increased by the same amount each month

Exponentially, because the table shows a constant percentage increase in orchids each month

18.A data set lists the grade point averages of 10th grade students. Which of the following charts could be used to display the data, and why?

Circle graph; because the data is categorical

Circle graph; because the data is numerical

Box plot; because the data is categorical

Box plot; because the data is numerical

19.Determine the equation for the line of best fit to represent the data.

scatter plot with points going down from about zero comma 1 to the right to about 6 comma zero

y equals one fifth times x plus 1

y equals negative five over one times x plus 1

y equals negative one fifth times x plus 1

y equals negative one fifth times x minus 1

20.Brad bought a piece of industrial real estate for $192,345. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years:

Year	1	2
Value (in dollars)	$200,038.80	$208,040.35

Which function best represents the value of the real estate after t years?

f(t) = 200,038.80(1.04)^t

f(t) = 200,038.80(0.04)^t

f(t) = 192,345(0.04)^t

f(t) = 192,345(1.04)^t

21.The equation for the area of a trapezoid is A equals one-half times h times the quantity of b subscript 1 plus b subscript 2 end quantity.

If A = 25, b₁ = 2, and b₂ = 8, what is the height of the trapezoid?

h = 7

h = 6

h = 5

h = 1.5

22.Jade normally leaves work at 5:00 p.m., but she is leaving work 10 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel two times faster by taking the toll road. Creates a equation in terms of x to represent the number of minutes after 5:00 p.m. she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.

y equals one half times x minus ten

y = 2x 10

y = 2x + 10

y equals one half times x plus ten

23.The total cost f(x), in dollars, for renting a houseboat for x days is shown: f(x) = 15 + 150x What does f(15) represent?

The number of dollars it costs for 15 people to rent the houseboat

The number of houseboats that can be rented for 15 days

The number of dollars it costs to rent the houseboat for 15 days.

The number of days the houseboat can be rented for a cost of $150

24.A linear function is shown on the graph.

A linear function beginning with closed circle at negative 4 comma 9 and ending with a closed circle at 3 comma negative 5.

What is the domain of the function?

{x | 4 x 3}

{x | 4 < x < 3}

{y | 5 y 9}

{y | 5 < y < 9}

25.A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most: 50x + 100 600

x 10

x 10

x 12

x 12