Chapter 3 Review Exercises 285 SECTION 3.6 Determine if each relation is a function. If not, explain why. (See Objective 2.) 73. The following table shows the richest Americans in 2009 by their net worth. (Source: http://www.infoplease.com/ us/statistics/richest-americans.html) Name Net Worth, in Billions Bill Gates $50 Warren Buffett $40 Larry Ellison $27 Christy Walton $21.5 Jim Walton $19.6 Alice Walton $19.3 S. Robson Walter $19 Michael Bloomberg $27.5 Charles Koch $16 David Koch $16 74. The following table shows the gas mileage of the “meanest” (i.e., most polluting) vehicles of 2010. Meanest Vehicles Miles per Gallon 1. Lamborghini Mucielago 18 2. Bugatti Veyron 8 3. Bentley Azure/Brooklands 9 4. Maybach 57S 10 5. Dodge Ram 2500 Mega Cab 12 6. Ford F-250 12 7. Bentley Continental 10 8. Ferrari 612 Scaglietti 9 9. Mercedes-Benz ML 63 AMG 11 10. Chevrolet Suburban K2500 13 (Source: http://www.infoplease.com) 75. {(2, 8), (2, -1), (1, 5), (-2, 1), (-4, 0)} 76. Assign to each student the grade earned in their beginning algebra class. Belize Dan Ed Frank Louise Kong Monica Rikki A B C D F 77. x = 1 78. y=- 1 5 x SECTION 3.4 Interpret the meaning of the slope and y-intercept in the context of each situation. (See Objective 1.) 57. Monica’s car is in the shop, so she is using a rental car. The total cost in dollars for Monica to rent a compact car is given by y = 135x, where x is the number of weeks the car is rented. 58. The per capita income in dollars can be modeled by the equation y = 1155.6x + 23,507, where x is the number of years after 1995. (Source: www.infoplease.com) 59. What is the pitch of a roof that rises 10 in. for every horizontal move of 6 in.? (See Objective 2.) 60. Determine if the lines are parallel, perpendicular, or neither: (See Objective 3.) y=- 2 3 x + 1 and y = 3 2 x - 2. 61. Graph the line that is parallel to y = -x + 3 and passes through the point (2, -6). (See Objective 4.) 62. Graph the line that is perpendicular to y = -2x + 3 and passes through the point (-4, -1.5). (See Objective 4.) SECTION 3.5 Write the equation of each line described. Express each answer in slope-intercept form if possible. (See Objectives 1–4.) 63. m = - 1 4 , (-8, 1) 64. (5.2, -2.3) and (7.2, -4.2) 65. m = undefined, (-1, 2) 66. (1, -2), parallel to y = 4x - 1 67. (2, -4) and (2, 6) 68. x-intercept (6, 0) and y-intercept (0, -1) 69. (4, 1), perpendicular to 2x + 3y = 1 70. (-1, 0), perpendicular to x = -5 Solve each problem. (See Objective 5.) 71. Amy has a new job as a graphic designer. Her starting salary is $43,500. She will receive a raise of $2160 each year she works with the company. a. Write a linear equation that represents Amy’s salary where x is the years she has worked with the company. b. What is Amy’s salary after 4 yr of working for the company? c. How long does she have to work for the company to earn a salary of $69,420? 72. Adam registers for his first semester in college. His tuition, includes fees of $525 plus $145 per credit hour. a. Write a linear equation that represents Adam’s total tuition, where x is the number of credit hours Adam will take. b. What is Adam’s tuition if he registers for 12 credit hours? c. How many hours is Adam taking if his tuition is $1830?
hendricks_beginning_algebra_1e_ch1_3
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