Final Graphing Practice #1

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1 Final Graphing Practice #1 Beginning Algebra / Math 100 Fall (Prof. Miller) Student Name/ID: Instructor Note: Assignment: Set up a tutoring appointment with one of the campus tutors or with me. At that appointment, learn how to do the problems below and then work through them with the tutor. Have the tutor write and sign their name after you have completed all 40 problems. Then turn in this paper and any other pages you used to do the work. This assignment is worth 30 math dollars. Tutor (print): Tutor (sign): 1. Graph the line. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 1/32

2 2. Consider the line. (a) Find the equation of the line that is perpendicular to this line and passes through the point. (b) Find the equation of the line that is parallel to this line and passes through the point. 3. Find the -intercept and -intercept of the line. -intercept: -intercept: 4. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 2/32

3 5. Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of. See the figure below. With gallons of fuel in its tank, the airplane has a weight of pounds. What is the weight of the plane with gallons of fuel in its tank? 6. The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is, and the remaining credit after minutes of calls is. What is the remaining credit after minutes of calls? ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 3/32

4 7. Consider the line. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? 8. Owners of a recreation area are filling a small pond with water. They are adding water at a rate of liters per minute. There are liters in the pond to start. Let represent the amount of water in the pond (in liters), and let represent the number of minutes that water has been added. Write an equation relating to, and then graph your equation using the axes below. 9. Find the slope of the line passing through the points and. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 4/32

5 10. The graph below shows the numbers of orders received by a company for five months. (a) What was the least number of orders in a month? (b) When did the number of orders have the greatest increase? 11. Find the slope of the line passing through the points and. 12. Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of. See the figure below. If the monthly cost for HCF is, what is the monthly cost for HCF? ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 5/32

6 13. Give the location of Rome as an ordered pair. 14. Graph the line. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 6/32

7 15. Write equations for the vertical and horizontal lines passing through the point. vertical line: horizontal line: 16. Find the -intercept of the line whose equation is. 17. The Sugar Sweet Company is going to transport its sugar to market. It will cost to rent trucks, and it will cost an additional for each ton of sugar transported. Let represent the total cost (in dollars), and let represent the amount of sugar (in tons) transported. Write an equation relating to, and then graph your equation using the axes below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 7/32

8 18. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: 19. A line passes through the point and has a slope of. Write an equation for this line. 20. The graph below shows how much money was given to a charity over five months. (a) What was the greatest donation amount in a month? (b) When did the greatest increase in donations occur? ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 8/32

9 21. Find an equation for the line below. 22. Owners of a recreation area are filling a small pond with water. They are adding water at a rate of liters per minute. There are liters in the pond to start. Let represent the amount of water in the pond (in liters), and let represent the number of minutes that water has been added. Write an equation relating to, and then graph your equation using the axes below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 9/32

10 23. Graph the line whose -intercept is and whose -intercept is. 24. Using the pencil, plot the point. 25. Consider the line. (a) Find the equation of the line that is perpendicular to this line and passes through the point. (b) Find the equation of the line that is parallel to this line and passes through the point. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 10/32

11 26. Graph the line. 27. Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After hours of burning, a candle has a height of centimeters. After hours of burning, its height is centimeters. What is the height of the candle after hours? ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 11/32

12 28. Write equations for the vertical and horizontal lines passing through the point. vertical line: horizontal line: 29. Give the location of Phoenix as an ordered pair. 30. A line passes through the point and has a slope of. Write an equation for this line. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 12/32

13 31. Graph the line with slope passing through the point. 32. Write an equation of the line below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 13/32

14 33. Graph the line. 34. Consider the line. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 14/32

15 35. Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of. See the figure below. If the monthly cost for HCF is, what is the monthly cost for HCF? 36. Find an ordered pair that is a solution to the equation. 37. Find an equation for the line below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 15/32

16 38. Find an equation for the line below. 39. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 16/32

17 40. Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After hours of burning, a candle has a height of centimeters. After hours of burning, its height is centimeters. What is the height of the candle after hours? 41. Find the slope of the line graphed below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 17/32

18 42. Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of. See the figure below. If the monthly cost for HCF is, what is the monthly cost for HCF? 43. Graph the line whose -intercept is and whose -intercept is. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 18/32

19 44. Write an equation of the line below. 45. Find an equation for the line below. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 19/32

20 46. Graph the line with slope passing through the point. 47. Find the slope of the line graphed below. 48. A line passes through the point and has a slope of. Write an equation for this line. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 20/32

21 49. Find the -intercept of the line whose equation is. 50. Write an equation of the line below. 51. Graph the line. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 21/32

22 52. Write equations for the horizontal and vertical lines passing through the point. horizontal line: vertical line: 53. Find an ordered pair that is a solution to the equation. 54. Using the pencil, plot the point. 55. Find the -intercept and -intercept of the line. -intercept: -intercept: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 22/32

23 56. Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After hours of burning, a candle has a height of centimeters. After hours of burning, its height is centimeters. What is the height of the candle after hours? 57. Consider the line. (a) Find the equation of the line that is parallel to this line and passes through the point. (b) Find the equation of the line that is perpendicular to this line and passes through the point. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 23/32

24 58. Graph the line. 59. Write equations for the vertical and horizontal lines passing through the point. vertical line: horizontal line: 60. Consider the line. (a) Find the equation of the line that is perpendicular to this line and passes through the point. (b) Find the equation of the line that is parallel to this line and passes through the point. ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 24/32

25 Final Graphing Practice #1 Answers for class Beginning Algebra / Math 100 Fall Equation of perpendicular line: Equation of parallel line: 3. -intercept: -intercept: 4. horizontal line: vertical line: 5. pounds Slope of a perpendicular line: Slope of a parallel line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 25/32

26 (a) What was the least number of orders in a month? orders (b) When did the number of orders have the greatest increase? to vertical line: horizontal line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 26/32

27 16. y-intercept: horizontal line: vertical line: (a) What was the greatest donation amount in a month? (b) When did the greatest increase in donations occur? April to May ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 27/32

28 Equation of perpendicular line: Equation of parallel line: centimeters ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 28/32

29 28. vertical line: horizontal line: Slope of a parallel line: Slope of a perpendicular line: One possible answer is horizontal line: vertical line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 29/32

30 40. centimeters y-intercept: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 30/32

31 horizontal line: vertical line: 53. One possible answer is intercept: -intercept: 56. centimeters ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 31/32

32 57. Equation of parallel line: Equation of perpendicular line: vertical line: horizontal line: 60. Equation of perpendicular line: Equation of parallel line: ALEKS Final Graphing Practice #1-09/25/2013 4:11:04 PM MDT -Copyright 2013 UC Regents and ALEKS Corporation. P. 32/32

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