WEST VANCOUVER SECONDARY SCHOOL
Essentials of Math 11 – Relations and Functions Unit Exam
Name: _________________________ Block: ______ Score: ________ 37
Section A: Multiple Choice (14 marks) Directions: Circle the most appropriate answer to each question. (1 mark each) Use the information below to answer the next three questions. Willy has a part-time job working at Starbucks and earns $8.00/hr. 1. The formula that would represent this relation would be a. Gross pay = ($8)(hours worked) b. Hours worked = ($8)(# of hours) c. Gross pay = ($8)(8 hours) d. Hours worked = ($8)(Gross pay) 2. The dependent variable in this situation would be a. Hours worked b. Gross pay c. Depends on his gross pay d. $8/hr. 3. If Willy works for 25 hours in a week, his gross pay would be a. $8 b. $25 c. $200 d. $225 4. Blockbuster rents out each video at a cost of $5. The situation, expressed in words, that best matches this relation is a. For every video rented, the cost of each video will be $5. b. No matter the number of videos you take out, they will cost a total of $5. c. You can only rent one video and it will cost $5. d. Blockbuster actually rents videos at a higher price. 5. If you are given the points (2, 45) and (4, 75), the slope of the line going through those points would be a. 2 b. 15 c. 18.75 d. 22.5
6. If you are given the formula P = 15h, the slope of the line representing this formula would be a. 1 b. 15 c. P d. h 7. The slope of a line represents the a. The rise of the line b. The run of the line c. The “steepness” of the line d. The starting point of the line 8. A community hall charges groups $200 to rent the hall and a charge $20 for each person who attends the hall. If c represents the total cost and p represents the number of people attending, the formula that represents this relation is a. C 200 p 20 b. C 20 p 200 c. P 200c 20 d. P 20c 200 9. The point on the graph where the cost of renting a car from Company A equals the cost of renting a car with Company B will be a. The origin of the graph b. The slope of each line c. The starting point of the lines d. The intersection point of the lines Use the information below to answer the next two questions. A real estate agent‟s salary depends on the dollar value of all property sold. The agent earns 5% commission on all sales. 10. If this relation is graphed, the starting point of the line would be a. (5, 0) b. (0, 5) c. (5, 5) d. (0, 0) 11. If the real estate agent sells $1 000 000 worth of property in a month, her salary would be: a. $5 b. $500 c. $5000 d. $50000
Use the following information to answer the next two questions. Two employees of “Chairs „R Us” receive different wages. Mark receives a wage of $500 and $2 for each chair he makes in the month. Shelley receives a wage of $400 and $4 for each chair she makes in a month. The two lines of these relations are graphed on the grid below.
Legend: Shelley
Monthly Wage
Mark
0
Number of Chairs Made
12. The line representing Mark would be a. The dashed line b. The solid line c. The line is not on the graph 13. The scale used on the “Monthly Wage” axis is a. 2 b. 4 c. 10 d. 100 14. The formula for maximum heart rate has been defined as r 208 (0.7)(a) where r is the maximum heart rate and a is a person‟s age. The maximum heart rate for a person aged 35 would be a. 24.5 b. 35 c. 183.5 d. 232.5
Section B: Short Answer (23 marks) Directions: Read the following questions carefully and clearly write your answer in the space provided. Show all your work. (Mark values are given for each question) 1. Shirley works at a gas station for $7.50 an hour. a. Express the relation between gross pay and hours worked with a table of values. (2 marks) 0 Hours Worked Gross Pay ($)
b. Express the relation between gross pay and hours worked with a formula (1 mark) 2. The following graph represents Mary‟s earnings for each hour worked.
64 56 48 Gross Pay ($) 40 32 24 16 8 0
1
2
3
4
5
6
7
8
Hours Worked
a.
What is the slope of the relation? (1 mark)
b. Using the graph or formula above, fill in the table below using interpolation or extrapolation (4 marks) Hours Worked Gross Pay ($) 3.5 52 72 12
3.
A fitness center charges its members a $75 registration fee when they join the center. In addition to this fee, they also pay a monthly fee of $35. a. Express the relation between the cost of the membership and the number of months of membership i) in words (1 mark)
ii) with a table of values (2 marks)
iii) as a formula (1 mark)
iv) as a graph (3 marks)
0
4. Given the graph below, determine a detailed situation that would best match fit the graph. (2 marks)
Distance
Time
5. Sketch a graph to represent your trip to school this morning and explain your graph. (2 marks)
Speed
Time
6. A vehicle‟s distance traveled (d) in metres is represented by the formula d st where s represents the vehicle‟s speed in km/h and t represents the time traveled in hours. a. What distance has the car traveled in 0.5 hours if its speed is 60 km/h? (2 marks)
b. What is the car‟s speed if it has traveled 150 km in 2 hours? (2 marks)