Section 3.1 Equations and the Rectangular Coordinate System 207 95. The graph shows the national average hourly salary for registered nurses between 1998 and 2005. (Source: Bureau of Labor Statistics) 21.38 22.31 23.19 23.96 25.39 20.71 26.77 27.35 0 1 2 3 4 5 6 7 8 30 25 20 15 10 5 National Average Hourly Salary for Nurses (1998–2005) a. Write an ordered pair for each point labeled on the graph. b. What was the national average hourly salary for nurses in 1998? c. What was the national average hourly salary for nurses in 2002? d. How much did the average hourly salary increase from 1998 to 2005? e. Based on the graph, how would you describe the average hourly salaries of nurses? 96. The bar graph shows the number of unique visitors, in millions, for the given websites for August 2010. (Source: http://www.compete.com) Unique Visitors, in Millions, August 2010 aaa.com 3.77 expedia.com 15.37 hotels.com 6.08 hotwire.com 6.21 kayak.com 5.08 orbitz.com 8.38 priceline.com 10.72 travelocity.com 9.89 tripadvisor.com 12 0 5 10 15 20 a. Write ordered pairs for this bar graph, where x is the website and y is the number of unique visitors, in millions. b. Which website had the largest number of visitors in August 2010? How many did it have? c. Which website had the least number of visitors in August 2010? How many did it have? Mix ’Em Up! Determine algebraically if the given ordered pair is a solution of the equation. 97. (1, -3); 9x - y = 12 98. (5, 4); 3x + 2y = 25 99. (-0.75, -3); 6x + y = -7.5 100. (0.7, 0); -5x + 10y = 6.5 101. (-2, 5); y = 2x2 + 9x + 16 102. (10, 4); y = -x2 + x + 94 103. a1 2 , -1b; y=-2x2 + 9x - 5 104. a2 3 , -2b; y=-3x2 - 7x + 4 105. (-0.8, 7.4); y = u3x - 5u 106. (0.6, 3.4); y = u4x + 2u 107. (3, 0); y = 10x - 9 x - 3 108. (1, 3); y = 5x + 4 -6x + 9 Plot each ordered pair on the Cartesian coordinate system and state the quadrant or axis where each point is located. 109. a- 3 2 , -5b 110. a0, - 1 2 b 111. (6.5, 0) 112. a3, - 5 2 b 113. (-4, 5) 114. (0, 3) 115. (2.5, 4.5) 116. (-2, 1.5) Identify each point plotted on the coordinate system and state the quadrant or axis where each point is located. 117. A 118. B 119. C 120. D 121. E 122. F 123. G 124. H Graph each equation by completing a table of solutions. 125. y = 3 - x 126. y = 1 - 2x 127. y = u2 - xu 128. y = 4 - x2 129. y = 1 - uxu 130. y = 1 - x2 Use the given graph of an equation to determine if each ordered pair is a solution of the equation. 131. (3, 0) 132. (0, -3) 133. (4, 6) 134. (-2, 4) Use the given graph to complete each ordered pair that is a solution. 135. (____ , -3) 136. a- 1 2 , ____b 137. ( ____ , 1) 138. ( ____ , -8) 139. (1, ____ ) 140. (3, ____ ) 4 4 8 8 –4 –8 –4 –8 x y A C E F H B D G 2 2 4 4 6 –2 –4 –2 –4 x y 2 4 6 –2 –2 –4 –6 –8 x y
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above