Grade 9 Applied Assessment of Mathematics

Transcription

1 1 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Linear Relations Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.6 (MC, 2007, winter, expectation: apply data-management techniques to investigate relationships between two variables) 6. Sunil surveys 200 students to find out how much sleep they need. He finds that students need less sleep as they get older. Which scatter plot most likely represents the survey results? Q.7 (MC, 2007, winter, expectation: apply data-management techniques to investigate relationships between two variables) 7. The scatter plot below shows the number of goals scored versus shots on goal by different members of a soccer team during the course of a season. What relationship is shown in the scatter plot? A. There is no relationship between shots on goal and the number of goals scored. B. The number of goals scored decreases as the number of shots on goal increases. C. The number of goals scored increases as the number of shots on goal increases. D. The number of goals scored stays the same no matter how many shots on goal are taken. Q.8 (MC, 2007, winter, expectation: determine the characteristics of linear relations)

2 Q.9 (MC, 2007, winter, expectation: determine the characteristics of linear relations) 9. Which table shows a linear relationship between x and y? 2 Q.10 (MC, 2007, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 10. One spring afternoon, Michael records the outside temperature every hour in the table below. Q.11 (MC, 2007, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 11. A banquet hall charges a fixed rate, plus a cost of $15 per person. For a party of 50 people, the total cost is $1200. Which equation models this relation, where C is the total cost, in dollars, and n is the number of people attending? A. C = 24n B. C = 24n C. C = 15n D. C = 15n

3 3 Q.12 (MC, 2007, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) 12. The graph below represents the relationship between Jackie s salary, s, and the length of time she works, t. Q.13 (MC, 2007, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) Q.14 (MC, 2007, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) For how many minutes did Harpreet use the Internet if he is charged $42 for a month? F. 350 min G. 511 min H. 525 min J. 700 min Q.15 (MC, 2007, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) 15. Bizni is 1 m from a motion detector when he starts walking. The graph produced by the graphing calculator is shown. How could Bizni change his walk to produce a graph with a negative rate of change? A. by walking farther away from the motion detector at a constant speed B. by increasing his speed and walking away from the motion detector C. by walking toward the motion detector at a constant speed D. by jumping up and down in front of the motion detector

4 16. Marathon Running Lisa and her mom decide to participate in a long-distance race called a marathon. Lisa s mom walks the marathon at an average of 1 kilometre every 10 minutes, as shown by the graph. Lisa starts the marathon 2 hours after her mom started and averages 1 kilometre every 5 minutes. When will Lisa pass her mom? Use a graphical model. 4 Q.16 (OR, 2007, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) Q.12 (MC, 2007, spring, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 12. The equation P = n represents the relationship between P, the total printing cost, in dollars, and n, the number of advertisements printed. Which of the following statements is true about this relationship? F. The flat fee to print is $0.06. G. The printing cost per advertisement is $1.20. H. The flat fee to print is $1.26. J. The printing cost per advertisement is $0.06.

5 5 Q.16 (OR, 2007, spring, expectation: determine the characteristics of linear relations) Up in the Air Madiha throws a ball into the air one time. The height of the ball above ground is measured at six different times. The table below shows the data that Madiha collects. Determine whether the relationship represented by the table is linear or non-linear. Justify your answer. Q.8 (MC, 2008, winter, expectation: apply data-management techniques to investigate relationships between two variables) 8. Mia delivers the local newspaper. Her base pay is $5 per week, and she gets $0.25 per paper. Which of the points on the graph represents Mia s pay for delivering 25 newspapers in a week? a. Point R b. Point S c. Point T d. Point U Q.9 (MC, 2008, winter, expectation: determine the characteristics of linear relations) 9. Which of the following graphs represents a linear relation?

6 6 Q.10 (MC, 2008, winter, expectation: determine the characteristics of linear relations) 10. Simon records the height of a plant each day for five days. His chart shows that the relation between height and day a. is a linear relation. b. is a non-linear relation. c. has a constant rate of change. d. has a decreasing rate of change. Q.11 (MC, 2008, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) Q.12 (MC, 2008, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 12. Tyler belongs to a fitness club at the community centre. The graph below represents the relationship between the number of times he visits the club and his total monthly cost. What type of variation is this relationship, and what is the initial value? a. Direct variation, and initial value is 0 b. Partial variation, and initial value is 0 c. Direct variation, and initial value is 20 d. Partial variation, and initial value is 20

7 7 Q.13 (MC, 2008, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) 13. A tap is leaking into a pail. The height of the water in the pail is represented by the equation h 5 0.5t 1 2, where h represents the height of water in the pail, in cm, and t represents the amount of time the tap has been leaking, in minutes. What is the height of water in the pail if the tap has been leaking for 56 minutes? a. 28 cm b. 30 cm c. 108 cm d. 114 cm Q.14 (MC, 2008, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) 14. The relationship between t, the number of minutes Shufrah travels, and D, the distance she is from home, is shown on the grid below. Which of the following statements best describes the way Shufrah travels? a. While travelling toward her home, Shufrah rides her bike, stops and then walks. b. While travelling toward her home, Shufrah rides her bike, walks and then rides her bike. c. While travelling away from home, Shufrah rides her bike, stops and then walks. d. While travelling away from home, Shufrah walks, rides her bike and then walks. Q.15 (OR, 2008, winter, expectation: determine the characteristics of linear relations) 15. Makin a Profit! Student council is planning a dance. The cost to hire a DJ is $300. Tickets are sold at $6 each. The profit is based on the amount received from the tickets sold minus the cost of the DJ. Complete the table of values to show the profit based on the number of tickets sold. Graph these data on the grid below.

8 8 Q.16 (OR, 2008, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 16. Rockin Radicals The Radicals, a small high school band, recently signed a contract with a record label. Their earnings include a signing bonus plus an amount per CD sold, as shown in the table below. Determine the amount of the signing bonus and the amount they receive per CD. Show your work. Q.8 (MC, 2008, spring, expectation: apply data-management techniques to investigate relationships between two variables) 8. Yves records the time of day that a street light turns off for 9 mornings over 28 days. The graph shows his data from the first day of the month. Which statement describes the relation above? a. The later in the month, the later the street light turns off. b. The later in the month, the earlier the street light turns off. c. The earlier in the month, the earlier the street light turns off. d. There is no relationship between the day and the time the street light turns off. Q.11 (MC, 2008, spring, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations)

9 9 Q.13 (MC, 2008, spring, expectation: connect various representations of a linear relation, and solve problems using the representations) 13. A jewellery store sells bead necklaces. Each necklace costs $4 for the wire and $0.25 per bead. Select the answer below that represents this relation correctly in two ways. C is the cost in dollars and n is the number of beads. Q.14 (MC, 2008, spring, expectation: connect various representations of a linear relation, and solve problems using the representations)

10 10 Q.15 (OR, 2008, spring, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 15. Starting Costs A car rental company uses the equation C d to determine the cost of renting a car, where C is the total cost in dollars and d is the distance travelled in kilometres. Determine the initial value and the rate of change. Initial value Rate of change Describe how the initial value and the rate of change relate to the total cost of renting a car. Q.16 (OR, 2008, spring, expectation: connect various representations of a linear relation, and solve problems using the representations) 16. Let s Go to a Water Park! Two water parks have different methods of determining the cost of a season pass. The equations for both parks are given below, where C is the cost of the pass and n is the number of visits. Graph the costs for both water parks on the grid below. Determine which water park has the lower cost for a season pass. Justify your answer.

11 11 Q.7 (MC, AP, 2009, winter, expectation: apply data-management techniques to investigate relationships between two ) Q.8 (MC, KU, 2009, winter, expectation: determine the characteristics of linear relations) 8. Koshen is creating his own summer gardening job. For each garden, he will charge a $10 initial consultation fee plus $8 per hour. Which graph best represents Koshen s earnings for each garden? Q.9 (MC, AP, 2009, winter, expectation: determine the characteristics of linear relations) 9. Which of the following tables represents a non-linear relation?

12 12 Q.10 (MC, KU, 2009, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 10. Joe owns an auto-repair shop. He charges his customers an hourly rate for repairs. The relationship between his income and the amount of time he works is shown below. What is Joe s hourly rate? EQME10536 a. $25/hour b. $75/hour * KU-PR08 c. $150/hour d. $225/hour Q.11 (MC, TH, 2009, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 11. A banquet hall charges a $1500 rental fee, plus $25 per person. EQME21407 Which table below shows this relation? Q.12 (MC, KU, 2009, winter, expectation: connect various representations of a linear relation, and solve problems using the representations)

13 13 Q.13 (MC, TH, 2009, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) Q.14 (MC, TH, 2009, winter, expectation: connect various representations of a linear relation, and solve problems using the representations)

14 14 Q.15 (OR, AP, 2009, winter, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 15. Poster Printing EQME21498 The total cost to print posters includes a set-up fee plus a charge per poster. The graph below represents the relationship between C, the total cost, and n, the number of posters printed. Determine the charge per poster. Show your work. Q.16 (OR, TH, 2009, winter, expectation: connect various representations of a linear relation, and solve problems using the representations) 16. Part-Time Jobs EQME21472 Liz s new job offers a one-time bonus of $30 and an hourly pay rate of $10 per hour. Alex has a new job that pays $15 per hour. Graph each person s total earnings on the grid below. Label each line. Determine where the lines intersect. The lines intersect at What does this point represent?

15 Q.7 (MC, AP, 2009, spring, expectation: apply data-management techniques to investigate relationships between two 7. Ali collects data to investigate how the area of the wall lit by an overhead projector increases as the projector moves away from the wall. The chart below shows Ali s data. Which of the following trends does the data support? As the distance increases, the area 15 a b c d increases at a constant rate. decreases at a constant rate. increases at an increasing rate. decreases at an increasing rate. Q.11 (MC, AP, 2009, spring, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 11. The graph below shows the relationship between Rick s distance from a motion detector and the time he walks. Which equation represents Rick s distance, D, from the motion detector based on time, t? a D = 2/5t + 8 b D = 2/5t + 8 c D = 5/2t + 8 d D = 5/2t + 8

16 16 Q.15 (OR, AP, 2009, spring, expectation: determine the characteristics of linear relations) 15.Ripples in the Pond Quinn drops a pebble into a shallow pond and watches a circular wave ripple outward. The area of the circle increases as the radius increases. Complete the table. Graph these data below. Choose and label an appropriate scale for each axis. Draw a line or curve of best fit. Hint: Area of circle = πr 2 Q.16 (OR, TH, 2009, spring, expectation: connect various representations of a linear relation, and solve problems using the representations) 16.I ll Call You Jasdeep has two options for long-distance phone calls. Plan A, as shown on the graph below, charges $10.00 per month for unlimited minutes. Plan B charges $0.20 per minute with no initial fee. Graph Plan B on the grid below. Determine under which conditions Jasdeep should select each plan. Justify your answer.

17 1 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Linear Relations Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.10 (MC, AP, 2010, expectation: apply data-management techniques to investigate relationships between two variables) Q.11 (MC, KU, 2010, expectation: determine the characteristics of linear relations)

18 Q.12 (MC, AP, 2010, expectation: determine the characteristics of linear relations) 12. A student creates a table to show the relationship between the side length of a square and its area. Which of the graphs below best represents this relationship? 2 Q.13 (MC, AP, 2010, expectation: determine the characteristics of linear relations) Q.14 (MC, KU, 2010, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 14. The following graphs represent a linear relationship between temperature and time. Which graph has a rate of change of -4 C per hour?

19 3 Q.15 (MC, AP, 2010, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 15. Sarah is running a 40 km race at a steady pace of 10 km/h. Which equation represents the distance Sarah has left to run after she starts if D is the distance in kilometres and t is the time in hours since she started the race? a. D = 40-10t b. D = t c. D = 10-40t d. D = t Q.16 (MC, TH, 2010, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) Q.17 (MC, AP, 2010, expectation: connect various representations of a linear relation, and solve problems using the representations) 17. The graph below illustrates the relationship between the distance driven and the amount of gasoline in the tank of a car. How many litres of gasoline are in the car s tank when the distance driven is 300 km? a 10 b 20 c 40 d 50 Q.18 (MC, AP, 2010, expectation: connect various representations of a linear relation, and solve problems using the representations) 18. One day, the temperature at 5 p.m. is 4 o C. For the next 6 hours, the temperature drops 2 o C every hour. What is the temperature at 11 p.m.? a. 2 O C b. -2 O C c. -6 O C d. -8 o C

20 4 Q.19 (MC, TH, 2010, expectation: connect various representations of a linear relation, and solve problems using the representations) 19. The total cost of renting a car on weekdays is represented by the graph below. On weekends, the flat fee remains the same but the cost per kilometre is less. Which of the following statements is true about the graph for weekends? a. The weekend graph goes through the point (0, 0). b. The weekend graph stays the same as the weekday graph. c. The initial cost is the same but the weekend graph is steeper than the weekday graph. d. The initial cost is the same but the weekend graph is less steep than the weekday graph. Q.20 (MC, TH, 2010, expectation: connect various representations of a linear relation, and solve problems using the representations)

21 5 Q.21 (OR, AP, 2010, expectation: determine the characteristics of linear relations) 21.Marathon Man Manny is running a race at a constant rate. He records his distance from the starting line at particular times as shown below. Complete the table for this linear relationship. Q.22 (OR, AP, 2010, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 22. Gym Time The graph below shows the relationship between the cost of renting a gym and the amount of time the gym is used. Determine the hourly rental rate. Show your work. The hourly rental rate is.

22 6 Q.23 (OR, AP, 2010, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 23. Bowling Variations There are two bowling alleys in town. The total cost of bowling at Ten Stripes Bowling is represented by the graph below. Ten Stripes offers free shoe rental. The total cost of bowling at Supreme Bowling is $4 for shoe rental plus $3 per game. Complete the chart. Q.12 (MC, AP, 2011 expectation: apply data-management techniques to investigate relationships between two variables)

23 7 Q.13 (MC,KU, 2011, expectation: determine the characteristics of linear relations) 13. A plumber charges an initial fee of $50, plus an additional $25 per hour. Which graph represents this relationship? Q.14 (MC,AP, 2011, expectation: determine the characteristics of linear relations) Q.15 (MC,AP, 2011, expectation: determine the characteristics of linear relations) 15. In which of the following patterns is there a linear relationship between the number of shaded squares and the term number?

24 8 Q.16 (MC,AP, 2011, expectation: determine the characteristics of linear relations) An online music store provides music that members can download. The store charges a membership fee and a cost per song. The chart below represents the relationship between the total cost and the number of songs downloaded. Which of the following is not true about this relationship? a. It is non-linear. b. It has an initial cost. c. It has a constant rate of change. d. It can be represented by a straight line. Q.17 (MC,TH, 2011, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 17. At her fitness club, Joanne is charged $15 per month. The total cost for 12 months is $270. Is the relationship between the total cost and the number of months a direct or a partial variation, and what is the initial fee? a. direct variation, $0 b. direct variation, $180 c. partial variation, $15 d. partial variation, $90 Q.18 (MC,KU, 2011, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) Q.19 (MC,KU, 2011, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 19. Pablo has a cellphone. The relationship between his total monthly cost, C, in dollars, and the number of minutes he uses the phone, t, is represented by the equation C t. Which of the following is not true about this relationship? a. The cost per minute is $0.25. b. The value of the rate of change is c. The total monthly cost for 1 minute is $20. d. The graph of the relationship has a C-intercept of 20.

25 Q.20 (MC,AP, 2011, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) The equation C 5 15n represents the relationship between the total cost of a gym membership, C, in dollars, and the number of months of membership, n. Which statement about this gym membership is true? a. It has an initial cost of $15. b. It costs $115 per month. c. It has an initial cost of $15 and a fee of $100 per month. d. It has an initial cost of $100 and a fee of $15 per month. Q.21 (MC,TH, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 21. The following describes Ihab s drive from Windsor to Toronto: One hour after leaving Windsor, he stops for 15 minutes to have a snack. He then drives for two more hours and then stops to visit a friend for one hour. He then completes his drive to Toronto at a faster rate than any other segment of his trip. Which graph best describes his trip? Q.22 (MC,TH, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 22. Dan needs to get his car fixed. Fast Freddie charges $440 for materials, plus $50 per hour for labour. Rapid Ron charges $360 for materials, plus $60 per hour for labour. Which repair shop charges less for a 5-hour job, and how much less? a. Rapid Ron charges $80 less. b. Fast Freddie charges $30 less. c. Rapid Ron charges $30 less. d. Fast Freddie charges $10 less.

26 10 Q.23 (MC,KU, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 23. The current plan for downloading music is made up of a flat fee of $20 and a fee of $0.50 per download. A new plan is made up of a flat fee of $10 and a fee of $0.50 per download. Which graph represents both plans? Q.24 (MC,AP, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 24. Two health clubs, Super Fit and Body Plus, offer monthly memberships. The total monthly cost for each club is represented by the graphs below. Which of the following is true? a. Body Plus is always cheaper. b. Super Fit is always more expensive. c. Super Fit is cheaper if the number of visits is fewer than 7. d. Body Plus is more expensive if the number of visits is greater than 9. Q.25 (MC,TH, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 25. Corrina wants to rent a snowmobile for a day and considers two rental companies. The relationship between the total cost of renting from Trails-R-Us and the number of kilometres travelled is represented by the graph below. Off- Roads charges a flat rate of $90 for a day with unlimited kilometres. At how many kilometres is the total cost the same at both rental companies? a. 70 km b. 80 km c. 90 km d. 100 km

27 11 Q.26 (OR,AP, 2011, expectation: determine the characteristics of linear relations) The pattern continues to grow in the same way. Complete the following table according to the pattern. Graph the data from the table on the grid above. Add a scale for the N-axis. Draw a line or curve of best fit for the data. Q.27 (OR,AP, 2011, expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 27. Balloon Ride The relationship between the height of a hot-air balloon, H, in metres, and time, t, in minutes, is represented below. Determine an equation to represent the relationship between the height of the balloon and time. Show your work H =

28 Q.28 (OR, TH, 2011, expectation: connect various representations of a linear relation, and solve problems using the representations) 28. Walk This Way 12 Mauro takes a walk. The graph below shows the relationship between Mauro s distance from home and his walking time. In the table provided, compare Mauro s distance from home, his speed and the direction in which he is travelling in the various segments of his walk. Q.10 (MC, AP, 2012 expectation: apply data-management techniques to investigate relationships between two variables) 10. The graph below represents the relationship between the circumference and the radius of a circle. Which of the following is represented by this graph? a. radius = 20 cm; circumference = 3.0 cm b. radius = 10 cm; circumference = 1.6 cm c. radius = 9 cm; circumference = 50 cm d. radius = 7 cm; circumference = 44 cm

29 13 Q.11 (MC, KU, 2012 expectation: determine the characteristics of linear relations) 11. Sanjay makes $20 per day plus $8 for every magazine subscription he sells. Which of the following tables shows data from the relationship between his total daily pay and the number of subscriptions he sells? Q.12 (MC, AP, 2012 expectation: determine the characteristics of linear relations) 12. William belongs to a music downloading club. He pays $8 a month plus $0.50 per song downloaded. Which of the following shows information about the relationship between the total monthly cost, in dollars, and the number of songs downloaded?

30 14 Q.13 (MC, AP, 2012 expectation: determine the characteristics of linear relations) 13. A restaurant charges $3 for a cheese pizza plus $2 per additional topping. Which of the following shows two models that represent the relationship between the total cost of a pizza, C, and the number of additional toppings on it, n? Q.14 (MC, AP, 2012 expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 14. A limousine company charges customers according to the graph shown below. What rate does the company charge per kilometre? a. $1.25 b. $2.50 c. $ d. $400.00

31 15 Q.15 (MC, KU, 2012 expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 15. A basketball club offers two types of memberships. Membership Y: No registration fee and $15 per hour for court time. Membership Z: $40 registration fee and $5 per hour for court time. Which of these relationships is a partial variation, and what is its initial cost? a Membership Y; $0 b Membership Y; $15 c Membership Z; $5 d Membership Z; $40 Q.16 (MC, TH, 2012 expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) 16. An arcade charges each customer an admission fee plus a cost to play each game. The relationship between the total cost, C, and the number of games played, n, is shown on the grid to the left. Which equation below represents this relationship? a C = 0.5n + 5 b C = 0.5n c C = 2.5n + 5 d C = 2.5n Q.17 (MC, TH, 2012 expectation: connect various representations of a linear relation, and solve problems using the representations) Q.18 (MC, AP, 2012 expectation: connect various representations of a linear relation, and solve problems using the representations)

32 16 Q.19 (MC, KU, 2012 expectation: connect various representations of a linear relation, and solve problems using the representations) 19. A taxi charges a flat fee of $3.75, plus $1.50 per kilometre driven. What is the total cost of a 10 km trip? a. $15.00 b. $18.75 c. $39.00 d. $52.50 Q.20 (MC, TH, 2012 expectation: connect various representations of a linear relation, and solve problems using the representations) 20: Kris is considering a new text message plan. The graph below shows information about Plan A. Plan B has the same total monthly cost for 250 messages. Which of the following graphs could represent Plan B? a) b) c) d)

33 17 Q.21 (OR, AP, 2012 expectation: apply data-management techniques to investigate relationships between two variables) 21. student Work Cam, Beth and Amrit are paid at an hourly rate for their time worked. The graph on the right shows the amount paid and the time worked for these three students. Determine which student is paid the highest hourly rate. Justify your answer. The student who is paid the highest hourly rate is Q.22 (OR, AP, 2012 expectation: demonstrate an understanding of constant rate of change and its connection to linear relations) The total cost of a banquet includes a fixed fee to rent the hall and a cost per person. Information about the total cost at two different halls is shown below. Which hall s total cost includes a lower cost per person? Circle one: Hall A Hall B Justify your answer.

34 18 Q.23 (OR, TH, 2012 expectation: connect various representations of a linear relation, and solve problems using the representations) 23. Requesting All Rentals! Erin rents a car. The relationship between the total cost of the rental and the distance driven is shown by the graph. Use the graph to estimate the total cost of the rental if Erin drives 27 km. Show your work on the graph. The estimated cost for 27 km is. Using the equation C = d, where C represents the total cost, in dollars, and d represents the distance Erin drives, in kilometres, determine the total cost of driving 27 km. Show your work. The actual cost for 27 km is. There could be a difference in the total cost of driving 27 km when you use the graph rather than the equation. Explain why there could be a difference.

35 Grade 9 Applied EQAO Assessment of Mathematics 2013 TCDSB, Math Department,2013 Linear Relations Strand Overall Expectations, Knowledge and Skills (KU,AP,TH,CO)

36 Q.10 (MC, KU, 2013, expectation: apply data management techniques to investigate relationships between variables) Q.11 (MC, AP, 2013, expectation: connect various representations of a linear relation, and solve problems using the representations)

37 Q.12 (MC, KU, 2013, expectation: determine the characteristics of a linear relation) Q.13 (MC, KU, 2013, expectation: determine the characteristics of a linear relation)

38 Q.14 (MC, AP, 2013, expectation: apply data management techniques to investigate relationships between variables) Q.15 (MC, AP, 2013, expectation: determine the characteristics of a linear relation )

39 Q.16 (MC, AP, 2013, expectation: determine an understanding of constant rate of change and its connections to a linear relations ) Q.17 (MC, AP, 2013, expectation: determine an understanding of constant rate of change and its connections to a linear relations ) Q.18 (MC, AP, 2013, expectation: connect various representations of a linear relation, and solve problems using the representations)

40 Q.19 (MC, TH, 2013, expectation: connect various representations of a linear relation, and solve problems using the representations) Q.20 (MC, TH, 2013, expectation: determine an understanding of constant rate of change and its connections to a linear relations )

41 Q.21 (OR, TH, 2013, expectation: determine an understanding of constant rate of change and its connections to a linear relations )

42 Q.22 (MC, TH, 2013, expectation: determine an understanding of constant rate of change and its connections to a linear relations )

43 Q.23 (OR, TH, 2013, expectation: connect various representations of a linear relation and solve problems using the relations )