Chapter 3 Review Exercises 203 12. The table shows the number of U.S. Representatives and the number of counties in the thirteen original colonies. (Source: www.factmonster.com) State Number of U.S. Representatives Number of Counties in the State DE 1 3 CT 5 8 GA 13 159 MD 8 23 NH 2 10 MA 10 14 NJ 13 21 NY 29 62 NC 13 100 PA 19 67 RI 2 5 VA 11 95 SC 6 46 a. Plot each pair of points, where x is the number of U.S. Representatives and y is the number of counties in the state. b. Interpret the meaning of your first and last ordered pairs in the table. c. What can you conclude, if anything, about the number of U.S. Representatives and the number of counties in the thirteen original colonies? SECTION 3.2 Express each relation as a set of ordered pairs. (See Objective 1.) 13. A group of friends share their all-time favorite movies. The results are shown in the mapping. Spider-Man Avatar Star Wars Shrek 2 t tt 14. The budgets (in millions) for selected movies are shown in the mapping. (Source: http://www.the-numbers.com/movies/ records/allbudgets.php) 175 200 180 Wall-E Titanic Spider-Man 2 Robin Hood Up Waterworld Express each relation as a graph. (See Objective 1.) 15. x -4 -5 6 0 y 15 1 0 4 16. x 3 4 5 9 y -2 -4 0 0 17. The number of viewers of the top five rated syndicated programs for the week of June 7, 2010, is given in the table. Ratings are the percentage of TV homes in the United States tuned into television. (Source: Nielsen Media Research) Rating 5.8 5.0 4.5 4.3 4.1 Number of viewers (in millions) 8.9 7.3 6.3 6.7 5.8 18. The number of viewers of the top five rated cable TV programs during for week of June 14, 2010, is given in the table. Ratings are the percentage of TV homes in the United States tuned into television. (Source: Nielsen Media Research) Rating 3.7 3.4 3.3 3.3 3.2 Number of viewers (in millions) 5.9 5.5 5.3 5.3 4.8 Express each relation as an equation and find its domain and range. (See Objective 1.) 19. A bowling alley charges $5.25 per person per game. Express the relation between the number of games and the cost as an equation. 20. A skating rink charges $4 per person. Express the relation between the number of skaters and the total cost as an equation. Determine the domain and range of each relation. (See Objectives 1 and 2.) 21. {(-27, 10), (-6, 5), (0, 7), (8, -6)} 22. {(-1, 5), (-3, 14), (6, 9), (14, -3)} 23. 24. 2 2 4 4 –2 –4 –2 –4 x y 2 2 4 4 –2 –4 –2 –4 x y
hendricks_intermediate_algebra_1e_ch1_3
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