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Name: Date: Lesson 6.2 Representing Functions Write a verbal description of each function. Then write an algebraic equation for the function. 1. Laura can type 75 words per minute on a computer keyboard. The number of words she can type, N, is a function of the amount of time, t minutes, she spends at the computer keyboard. 2.When Melissa goes on vocation, she boards her dog at a kennel. The kennel charges a flat fee of $50 and a daily rate of $10. The total amount Melissa pays for her dog to stay at the kennel, y dollars, is a function of the number of days that she boards the dog, d. Write an algebraic equation for each function. Then construct a table of x and y values for the function. © Marshall Cavendish International (Singapore) Private Limited. 3. Maria and her friends are making beaded bracelets to raise funds for their mission trip. Each bracelet is made up of 12 beads. The total number of beads needed, y, is a function of the number of bracelets they make, x. 4. A tank contains 72 gallons of water. A pump rated at 5 gallons per minute, is used to transfer water from the tank to a mixing vessel. The amount of water in the tank, A, is a function of the amount of time the pump is in use, t minutes. Extra Practice Course 3A 107 (M)MIFEPC3A_06.indd 107 27/08/12 11:57 AM Name: Date: Each of the following graphs represents a function. Write an algebraic equation to represent the function. y 5. y 6. 3 4 2 3 1 2 2 1 0 1 x 1 0 1 2 3 4 x Use the table of values to plot a graph to represent the function. 7. The table shows the number of hanging brackets, y, needed to hang x paintings in an art gallery. Use 1 unit on the horizontal axis to represent 1 painting for the x interval and 1 unit on the vertical axis to represent 3 brackets for the y interval. Number of Paintings (x) 0 2 5 8 Number of Brackets (y) 3 9 18 27 y Number of Brackets © Marshall Cavendish International (Singapore) Private Limited. Painting Hardware Needed x Number of Paintings 108 Chapter 6 Lesson 6.2 (M)MIFEPC3A_06.indd 108 8/16/12 7:28 PM Name: Date: Use the table of values to plot a graph to represent the function. Then write an algebraic equation for the function. 8. A dancing studio charges a $35 registration fee for class enrollment plus a per class fee. The dance class Marissa plans to take is $70 per hour. The table shows the total cost, y dollars, as a function of the number of class hours, x. Use 1 unit on the horizontal axis to represent 1 hour for the x interval and 1 unit on the vertical axis to represent $35 for the y interval. Number of Class Hours (x) 0 1 2 3 4 5 6 Total Cost (y dollars) 35 105 175 245 315 385 455 Dance Class Cost © Marshall Cavendish International (Singapore) Private Limited. Total Cost ($) y x Number of Class Hours (h) Extra Practice Course 3A 109 (M)MIFEPC3A_06.indd 109 8/16/12 7:28 PM Name: Date: Solve. Show your work. 9. The graph shows the number of sheets of paper, y, remaining in the input paper tray of a photocopy machine as a function of the time the machine is operational, x minutes. Number of Sheets of Paper y Printing of Papers per Minute 360 270 180 90 0 1 2 3 x a) Write an equation in slope-intercept form to represent the function. b)What information do the values for slope and y-intercept give you about the function? 10. Jason had a prepaid movie card with a value of $45. Every time he watches a movie, $7.50 is deducted from the value of his card. The amount of money remaining on his card, y dollars, is a function of the number of movies he watches, x. a)Write a verbal description of the function and then write an algebraic equation for the function. b)Construct a table of x and y values for the function in a). Use values of x from 0 to 6. © Marshall Cavendish International (Singapore) Private Limited. Time (min) 110 Chapter 6 Lesson 6.2 (M)MIFEPC3A_06.indd 110 8/16/12 7:28 PM Name: Date: c) Use the table of values in b) to plot a graph to represent the function. Use 1 unit on the horizontal axis to represent 1 movie watched for the x interval from 0 to 6 and 1 unit on the vertical axis to represent $5 for the y interval from 0 to 50. y Card Value ($) Stored Card Value x Number of Movies © Marshall Cavendish International (Singapore) Private Limited. Extra Practice Course 3A 111 (M)MIFEPC3A_06.indd 111 8/16/12 7:28 PM