Section 3.1 The Coordinate System, Graphing Equations, and the Midpoint Formula 163 Mix ’Em Up! Choose an appropriate scale to plot the three ordered pairs on the same rectangular coordinate system. Then specify the quadrant where each point is located. 69. (-10.4, 12.5), (-7, 3), (2.5, -1.8) 70. (2.4, -6.6), (8, 13), (-3.6, 8.5) 71. a-1, - 1 5 b , a2, - 3 5 b , a-6, - 5 13 b 72. a-10, 13 15 b , a54 17 , - 33 23 b , a- 23 4 , - 19 22 b 73. a- 1 2 , - 1 4 b , (1, -2), a3, 5 2 b 74. a3 4 , - 7 2 b , (-4, 3), a2, 1 2 b Determine if each ordered pair is a solution of the equation. 75. y = 5x - x2; (1, 4) 76. y = x - 2x2 + 1; (2, -5) 77. 10x - 3y = 4; a0, 4 3 b 78. 6x + 5y = 9; a3 2 , 0b 79. y = |2x - 1| - 3; (-3, - 4) 80. y = |4 - 3x| + 2; (2, 0) 81. y = -3|x + 9| - 10; (-10, -13) 82. y = -6|x + 10| - 12; (-8, 0) Graph each equation. 83. y = 4 - 3x 84. y = 7 - 2x 85. y = (x + 1)2 - 2 86. y = (x + 3)2 - 4 87. y = |x - 3| -1 88. y = |x - 1| + 2 89. y = (x - 1)2 90. y = (x + 3)2 The graph of y = -(x + 2)(x - 1)(x - 2) is shown. Use the graph to determine if the ordered pair is a solution of the equation. 91. (-2, 0) 92. (0, -4) 93. (2, 0) 94. (1, 1) 95. (-1.5, -3) 96. (0.5, -2) Find the midpoint of each line segment formed by the given ordered pairs. 97. (-10, 1) and (19, -5) 98. (4, 12) and (-3, -25) 99. (5.2, -2.8) and (-3.6, -0.2) 100. (-7.6, 2.5) and (4.3, 16.4) 101. a2 3 5 , 0b and a-4 1 2 , -6b 102. a-2 1 4 , 2b and a4 1 2 , 9b Solve each problem. 103. During 2010, 254,375 children entered foster care in the United States. The table shows the approximate percentage of these children who were at a particular age. (Source: http://www.acf.hhs.gov/programs/cb/stats_research/ afcars/tar/report18.htm) Age 1 3 7 10 11 13 16 18 Percentage who entered foster care at 8 6 4 3 3 4 7 0 this age a. Plot each pair of points, where x is the age and y is the approximate percentage of those children who entered foster care at this age. b. Interpret the meaning of the first and last ordered pairs in the table. c. What can you conclude, if anything, about the age of the children who entered foster care in 2010? 104. The table shows the percentage of children in the United States living with the given number of siblings in 2009. (Source: http://www.census.gov/prod/2011pubs/ p70–126.pdf) Number of siblings 0 1 2 3 4 or more Percentage of children 22.1 38 24.1 10.5 5.4 a. Plot each pair of points, where x is the number of siblings and y is the percentage of children living with x siblings. b. Interpret the meaning of the first and last ordered pairs in the table. c. What can you conclude, if anything, about the percentage of children living with siblings in 2009? 105. The table shows the number of domestic movies released in a given year. (Source: www.boxofficemojo.com) Number of years after 1980 0 5 10 15 20 25 Number of domestic movies released 161 470 410 411 478 547 2 4 –2 –4 –4 –6 x y
hendricks_intermediate_algebra_1e_ch1_3
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