Student Check 4 The graph of the equation y = uxu - 3 is provided. Use the graph to determine if each ordered pair is a solution of the equation. a. (3, 0) b. (0, 3) c. (0, -3) d. (4, -1) e. (-4, 1) Applications The applications in this section require us to read graphs to obtain information. Data that can be represented as an ordered pair are called paired data. For example, a person’s weight for a given year can be written as an ordered pair in the form (year, weight). When we are given real-life data in tables, bar graphs, or line graphs, we can convert the data to ordered pairs and use them to plot the data. The plot of this data is called a scatter plot or scatter diagram. Scatter plots can be used to look for patterns or trends that occur in paired data. �� ������������������������ ������������������ Use the table or graph to answer each question. 5a. The following table provides the number of cell phone subscribers in the United States for the given year. Write an ordered pair for each year, where x is the number of years after 2000 and y is the number of cell phone subscribers (in millions). Years After 2000 0 1 2 3 4 5 6 8 9 Subscribers (in millions) 109 128 141 159 182 208 233 263 286 (Sources: www.infoplease.com and http://www.ctia.org/media/industry_info/index .cfm/AID/10323) i. Write the ordered pairs that correspond to the data in the table. ii. Interpret the meaning of the first and last ordered pairs. iii. Plot the ordered pairs to form a scatter plot of the given data. Solution 5a. i. The ordered pairs that correspond to the data in the table are (0, 109), (1, 128), (2, 141), (3, 159), (4, 182), (5, 208), (6, 233), (8, 263), and (9, 286). ii. The first ordered pair (0, 109) means that 0 yr after 2000, or in 2000, there were approximately 109 million cell phone subscribers in the United States. The last ordered pair (9, 286) means that 9 yr after 2000, or in 2009, there were approximately 286 million cell phone subscribers in the United States. iii. The scatter plot of the ordered pairs is 350 300 250 200 150 100 50 0 1 2 3 4 5 6 7 8 9 10 Subscribers, in millions Years after 2000 Objective 5 ▶ Solve application problems. 2 2 4 4 –2 –4 –2 –4 x y 200 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_algebra_1e_ch1_3
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