158 Chapter 3 Graphs, Relations, and Functions Solution 6b. i. The ordered pairs are (0, 522,219), (1, 538,373), (2, 551,544), (3, 573,054), (4, 599,558), (5, 559,591), (6, 551,855), (7, 583,293), (8, 629,768), (9, 657,261), (10, 658,363), (11, 679,168), (12, 651,702), and (13, 617,964). ii. The year 2001 is 5 yr after 1996. The ordered pair (5, 559,591) lies on the graph, so there were 559,591 thousand domestic airline passengers enplaned in 2001. The year 2005 is 9 yr after 1996. The ordered pair (9, 657,261) lies on the graph, so there were 657,261 thousand domestic airline passengers enplaned in 2005. iii. The greatest number of enplaned passengers was 679,168 thousand. This occurred 11 yr after 1996, or in 2007. The least number of enplaned passengers was 522,219 thousand. This occurred 0 yr after 1996, or in 1996. iv. The graph shows that the number of enplaned passengers increased between 1996 and 2000, decreased between 2000 to 2002, increased between 2002 and 2007, and decreased from 2007 to 2009. Student Check 6 Solve each problem using the given information. a. The table provides the average annual unemployment rate for 2000 to 2010. Use the table to answer each question. (Source: http://www.bls.gov/cps/ demographics.htm) Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Unemployment Rate 4.0 4.7 5.8 6.0 5.5 5.1 4.6 4.6 5.8 9.3 9.6 i. Write ordered pairs for the given data, where x is the number of years after 2000 and y is the unemployment rate. ii. Create a scatter plot of the data. iii. Use the graph to describe the unemployment rate since 2000. b. The graph shows the calories burned from a 30-min brisk (3.5 mph) walk by a person who weighs x pounds. Use the graph to answer each question. (Source: http://www.buzzle.com/articles/calories-burned-in-brisk-walking.html) Calories Burned from a 30-Min Brisk Walk Based on Weight (in pounds) 200 150 100 50 100 108 129 151 172 125 150 175 200 225 i. Write ordered pairs for each of the points on the graph. ii. How many calories are burned by someone who weighs 150 lb? iii. Find the midpoint of the line segment formed by x = 125 and x = 150. What does this information mean in the context of the problem? Troubleshooting Common Errors Some common errors associated with plotting points and determining if a point is a solution of an equation in two variables are shown next. Objective 7 ▶ Troubleshoot common errors.
hendricks_intermediate_algebra_1e_ch1_3
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