Mix ’Em Up! Graph each equation. Identify at least two points on the graph. 63. 9x - 3y = 6 64. 4x - 2y = 8 65. y - 1 = 0 66. x + 3 = 0 67. y = 3x 68. y = -2x 69. y=- 1 2 x + 5 70. y = 1 3 x - 2 71. y = -0.4x + 1 M 72. y = 0.25x - 1 73. y = 2.4x - 1.8 74. y = -1.5x - 4.5 75. x = 0 76. y = 0 77. 3x -2y = 0 78. 4x + 5y = 0 79. y=- 1 5 x 80. y = 5 6 x 81. 2y + 5 = 0 82. 5y - 2 = 0 83. 2x - 10 = 0 84. 3x + 3 = 0 85. 4x - 5 = 0 86. 6x - 9 = 0 87. 0.01x - 0.02y = 1.2 88. 0.03x + 0.02y = 0.6 89. 2 3 x - 1 2 y = 1 90. 3 4 x + 1 3 y=-2 Use the equation to answer each question. 91. The percent of high school students who are users of cigarettes is on the decline. The percent of students who are users can be modeled by the equation y = -2.5x + 38, where x is the number of years after 1997. (Source: National Cancer Institute) a. Find the y-intercept of the equation and interpret its meaning. b. What percent of high school students used cigarettes in 2000? c. What percent of high school students used in cigarettes in 2010? d. Use the intercepts to graph the equation. 92. The expenditures (in billions) for public elementary and secondary education in the United States can be modeled by the equation y = 20x + 285, where x is the number of years after 1997. (Source: http://nces.ed.gov/ programs/projections/projections2018/tables/table_34.asp) a. Find the y-intercept of the equation and interpret its meaning. b. What were the expenditures for public elementary and secondary education in the United States in 2005? c. What were the expenditures for public elementary and secondary education in the United States in 2012? d. Use the information obtained in parts (a) to (c) to graph the equation. 93. The percent of men aged 18 yr and older who are current cigarette smokers can be modeled by the linear equation y = -0.33x + 25.64, where x is the number of years after 1998. (Source: National Cancer Institute) a. Find the x-intercept of the equation and interpret its meaning. Is this realistic? b. Find the y-intercept of the equation and interpret its meaning. c. What percent of men aged 18 yr and older were cigarette smokers in 2005? How close is the answer to the actual estimate of 23.39%? d. What percent of men aged 18 yr and older were cigarette smokers in 2012? e. Use the intercepts to graph the equation. f. The Healthy People Campaign targets to reduce the percent of smokers. Find the year when the percent of men aged 18 yr and older who are current cigarette smokers will be reduced to 12%. 94. The percent of women aged 18 yr and older who are current cigarette smokers can be modeled by the linear equation y = -0.53x + 22.12, where x is the number of years after 1998. (Source: National Cancer Institute) a. Find the x-intercept of the equation and interpret its meaning. Is this realistic? b. Find the y-intercept of the equation and interpret its meaning. c. What percent of women aged 18 yr and older were cigarette smokers in 2005? How close is the answer to the actual estimate of 18.38%? d. What percent of women aged 18 yr and older were cigarette smokers in 2012? e. Use the intercepts to graph the equation. f. The Healthy People Campaign targets to reduce the percent of smokers. Find the year when the percent of women aged 18 yr and older who are current cigarette smokers will be reduced to 12%. 95. The percent of U.S. adults aged 20 yr and over who are obese can be modeled by the linear equation y = 0.71x + 19.83, where x is the number of years after 1997. (Source: National Center for Health Statistics) a. Find the y-intercept of the equation and interpret its meaning. b. What percent of U.S. adults were obese in 2008? How close is the answer to the actual estimate of 27.6% in 2008? c. What percent of U.S. adults were obese in 2012? d. Use the information obtained in parts (a) to (c) to graph the equation. e. What does the graph indicate about the percent of U.S. adults aged 20 yr and over who are obese? 96. The owner of a limousine rental company purchases a stretch limousine for $110,000. For tax purposes, the owner uses straight-line depreciation for reporting the value of the limousine. The depreciated value of the limousine is given by y = -22,000x + 110,000, where x is the age of the limousine in years. a. Find the x-intercept and interpret the meaning. b. Find the y-intercept and interpret the meaning. c. When will the depreciated value of the limousine be $66,000? 224 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above