Use the graphs to answer each question. 141. The graph shows the total expenditures for airline transportation in the United States between 1998 and 2007. (Source: http://www.bts.gov/publications/ national_transportation_statistics/ ) 40 35 30 25 20 15 10 5 Yearly Expenditures for Airline Transportation in the United States, in Billions (1998–2007) 31.8 33.3 36.7 31.4 28.3 31.2 36.7 33.3 34.4 35.9 0 1 2 3 4 5 6 7 Years After 1998 8 9 a. Write an ordered pair for each point labeled on the graph. b. In what year were the expenditures the greatest? The least? c. Between what consecutive years did the expenditures decrease? By how much? d. Based on the graph, how would you describe expenditures for U.S. airline transportation? 142. The graph shows the gross public debt amount in the United States between 2000 and 2010. (Source: http:// www.treasurydirect.gov/NP/BPDLogin?application=np) 14 12 8 6 5.67 4 2 Gross Public Debt Amount, in Trillions (2000–2010) 5.81 6.23 6.78 7.88 7.93 8.68 9.23 10.70 12.31 13.58 10 0 1 2 3 4 5 6 7 8 9 10 a. Write an ordered pair for each point labeled on the graph. b. In what year was the public debt amount the greatest? The least? c. Between what consecutive years did the debt increase most? By how much? d. Based on the graph, how would you describe public debt amount for the United States? You Be the Teacher! Answer each student’s question or correct the errors, if any. 143. Andrea: I always mix up the location of the four quadrants. Can you give me a way to remember which quadrant is which? 144. Graph the equation y = ux - 4u. Bernadette’s work: x y = ux - 4u (x, y) -1 -5 (-1, -5) 0 -4 (0, -4) 1 -3 (1, -3) 2 -2 (2, -2) 3 -1 (3, -1) 2 2 4 6 –2 –2 –4 –6 x y 145. Graph the equation y = -x2 + 1. Valerie’s work: x y = -x2 + 1 (x, y) -2 5 (-2, 5) -1 2 (-1, 2) 0 1 (0, 1) 1 2 (1, 2) 2 5 (2, 5) 8 6 2 –2 2 4 y –4 –2 4 x Calculate It! Use a graphing calculator to graph the points or equations. Sketch the graph displayed on the calculator. 146. (-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9) 147. (-3, -5), (-2, -3), (-1, -1), (0, 1), (1, 3), (2, 5), (3, 7) 148. y = 4 - 2x 149. y = x3 - 2x2 + 4 208 Chapter 3 Linear Equations in Two Variables
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