Coordinate Geometry and Data Analysis
1. The distance in miles, y, a bicyclist is from home after riding for x hours is represented by the equation y = 8x + 7. What does the slope represent in this situation?
- The number of hours it takes the bicyclist to ride 15 hours
- The distance the bicyclist is from home when x = 0
- The steepness of the hill the bicyclist is climbing
- The speed of the bicyclist
2. A pizza restaurant charges for pizzas and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c = 8p + 3. Which statement is true?
- The cost of 8 pizzas is $11
- The cost of 3 pizzas is $14
- Each pizza costs $8 and the delivery fee is $3
- Each pizza costs $3 and the delivery fee is $8
3. The table shows the 2008 United States first-class postage rate, d(w), for packages of maximum weight, w.
Postage Rate for Packages in 2008
Maximum weight inounces, w / Postage Rate, d(w)
1 / $1.17
2 / $1.34
3 / $1.51
4 / $1.68
5 / $1.85
6 / $2.02
7 / $2.19
8 / $2.36
9 / $2.53
10 / $2.70
If the pattern in the table continues. Which value represents the postage rate of a 13-ounce package?
A. $2.21 B. $2.87 C. $3.21 D. $4.21
4. The table below shows the approximate melting points and the approximate boiling points, in degrees Celsius, for eight precious metals.
Boiling and Melting Points of Precious Metals
Precious Metals / Melting Point / Boiling PointPlatinum / 1768 / 3827
Rhodium / 1963 / 3727
Gold / 1064 / 2800
Palladium / 1555 / 3167
Ruthenium / 2250 / 3900
Silver / 962 / 2210
Iridium / 2446 / 4527
Osmium / 2700 / 5500
Which equation is closest to the line of best fit for this data?
A. y = x + 1000 B. y = 1.5x + 840 C. y = 2x + 800 D. y = 2.5x + 1000
5. The scatter plot below compares the math and science scores of twelve students in one classroom.
Based on the trend shown in the line of best fit, which is the closest to the expected science grade of a student that scores an 86 in math?
A. 82 B. 85 C. 87 D. 89
6. The scatterplot below shows data from an experiment that tested the amount of lactic acid present in aging cheese.
Which best describes the relationship between the age of the cheese and the amount of lactic acid present in the cheese, as shown in the scatter plot?
A. There is no correlation.B. There is a positive correlation.
C. There is a negative correlation.D. There is a non-linear correlation.
7. The amount of fat and the percent of calories from fat for several hamburgers is shown in the table below.
Fat in Fast Food Hamburgers
Fat / Percent of caloriesfrom fat
39 / 52
32 / 49
33 / 53
34 / 52
21 / 44
19 / 42
32 / 53
23 / 52
Which equation is closest to the line of best fit for this data?
A. y = 0.5x + 36B. y = 0.5x – 36C. y = 5x + 42D. y = 5x -42
8. The table below represents the high and low temperatures for one day for selected locations in Mississippi.
Mississippi Locations
Location / High Temperature / Low TemperatureGulfport / 64 / 58
Jackson / 78 / 59
Hattiesburg / 70 / 59
Meridian / 74 / 61
Pascagoula / 66 / 54
Kessler AFB / 62 / 58
Which is the closest to the equation for the line of best fit for the data in the table?
A. y = 0.2x + 45B. y = 0.2x + 35C. y = 2x + 30D. y = 2x + 40
9. The scatter plot below shows the population of Jackson, Mississippi, every ten years since 1950.
Based on the trend line, which is the expected population of Jackson, Mississippi, for the year 2020?
A. 450,000B. 468,000C. 515,000D. 525,000
10. The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u.
u / 1 / 2 / 3 / 4d / 22,500 / 22,000 / 21,500 / 21,000
Which equation represents this data algebraically?
A. d = 20,000 + 1,000uB. d = 22,000 + 500u
C. d = 23,000 – 500uD. d = 25,000 -1,500u
11. The table below shows values of y as a function of x.
x / y2 / 10
6 / 25
14 / 55
26 / 100
34 / 130
Which linear equation best describes the relationship between x and y?
A. y = 2.5x + 5B. y = 3.75x + 2.5C. y = 4x + 1D. y = 5x
12. A graph of a linear equation is shown below.
Which equation described the graph?
A. y = 0.5x -1.5 B. y = 0.5x + 3 C. y = 2x – 1.5 D. y = 2x + 3
13. Vy asked 200 students to select their favorite sport and then recorded the results in the bar graph below.
Vy will ask another 80 students to select their favorite sport. Based on the information in the bar graph, how many more students of the next 80 asked will select basketball rather than football as their favorite sport?
A. 10B. 20 C. 25 D. 30
14. The points scored by a football team are shown in the steam-and-leaf plot below.
What was the median number of points scored by the football team?
A. 24B. 27C. 28D. 32
15. A number cube with sides labeled 1 through 6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 3?
A. B. C. D.
16. A ball rolls down a hill with a slope of . At one point the ball is 10 feet high and at the other point the ball is 4 feet high, as shown in the diagram below.
What is the horizontal distance (x), in feet, that the ball traveled as it rolled down the ramp from 10 feet high to 4 feet high?
A. 6B. 9C. 14D. 15
17. The total cost for renting a banquet hall includes a one-time rental fee and a cost per person attending the banquet. The relationship between n, the number of people attending, and t, the total cost, is shown in the graph.
Which equation best represents the relationship between n and t?
A. t = -15n +75 B. t = -15n – 75 C. t = 15n + 75 D. t = 15n-75
18. A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank?
A. 9B. 15C. 18D. 24
19. In a coordinate plane, if points A(p, 3) and B(6, p) lie on a line with a slope of 2, what is the value of p?
A. 2B. 3C. 4D. 5
20. What is the y-intercept of the line with the equation 2x – 3y = 18
A. -9B. -6C. -3D. 6
21. Which of the following equations bests describes the line shown in the graph below?
A. y=-2x + 6B. y = x + 6C. y = -2x + 3D. y = x + 3
22. There are exactly 9 buttons in a bag. There are 4 blue buttons and 3 red buttons, and the rest are yellow. If one button is drawn at random from the bag, what is the probability that the button is yellow?
A. 1/9B. 1/7C. 2/9D. 2/7
23. 3. A bag contains only red marbles, blue marbles, and yellow marbles. The probability of randomly selecting a red marble from this bag is ¼, and the probability of randomly selecting a blue marble is 1/6. Which of the following could be the total number of marbles in the bag?
A. 10B. 12C. 18D. 20
24. Daisy gather information on annual car insurance rates in her area. These data are shown in the box-and-whisker plot below.
What amount is closest to the interquartile range of these rates?
A. $300B. $525C. $675D. $950
Open-ended questions
1. Last summer Ben purchased materials to build model airplanes and then sold the finished models. He sold each model for the amount of money. The table below shows the relationship between the number of model airplanes and the running total of Ben’s profit.
Model AirplanesSold / Total Profit
12 / $68
15 / $140
20 / $260
22 / $308
A. Write a linear equation, in slope-intercept form, to represent the amount of Ben’s total profit (y) based on the number of model airplanes (x) he sold.
B. How much did he spend on his model-building materials?
2. Hector’s family is on a car trip. When they are 84 miles from home, Hector begins recording their distance driven (d), in miles, after h hours in the table below.
Distance by hour
Time in hours (h) / Distance in Miles (d)0 / 84
1 / 146
2 / 208
3 / 270
A. Write an equation to find the distance driven (d), in miles, after a given number of hours (h).
B. Hector also keeps track of the remaining gasoline. The equation below can be used to find the gallons of gasoline remaining (g) after distance driven (d), in miles.
Use the equation to find the missing values for gallons of gasoline remaining.
Gasoline Remaining by Mile
Distance in Miles (d) / Gallons of gasoline remaining (g)100
200
300
C. Draw the graph of the line formed by the points in the table from part B.
D. Explain why the slope of the line drawn in part C must be negative.
3. Georgia is purchasing treats for her classmates. Georgia can spend exactly $10.00 to purchase 25 fruit bars, each equal in price. Georgia can also spend exactly $10.00 to purchase 40 granola bars, each equal in price.
A. Write an equation which can be used to find all combinations of fruit bars (x) and granola bars (y) that will cost exactly $10.00
B. Graph the equation from part A below.
C. What is the slope of the line graphed in part B?
D. Explain what the slope from part C means in the context of Georgia purchasing treats.
4. The weight, in pounds, of each wrestler on a high school team at the beginning of the season is listed below
178 142 112 150 206 130
A. Find the median weight of the wrestlers.
B. Find the mean weight of the wrestlers.
C. Two more wrestlers join the team during the season. The addition of these wrestlers
has no effect on the mean weight of the wrestlers, but the median weight of the
wrestlers increases 3 pounds. Determine the weights of the two new wrestlers.
5. The box and whisker plot shown below represents student’s tests scores in Mr. Ali’s history exam.
A. What is the range of the test scores?
B. What is the best estimate for the percent of students who scored a 92 or higher on the exam?
C. Mr. Ali wanted more than half his students to earn a 75 or better on the test. Explain how you know more than half did NOT score greater than a 75.