212 Chapter 3 Graphing Linear Equations in Two Variables Section 3.1 Rectangular Coordinate System 1. Interpreting Graphs Mathematics is a powerful tool used by scientists and has directly contributed to the highly technical world in which we live. Applications of mathematics have led to advances in the sciences, business, computer technology, and medicine. One fundamental application of mathematics is the graphical representation of numerical information (or data). For example, Table 3-1 represents the number of clients admitted to a drug and alcohol rehabilitation program over a 12-month period. Table 3-1 In table form, the information is difficult to picture and interpret. It appears that on a monthly basis, the number of clients fluctuates. However, when the data are represented in a graph, an upward trend is clear (Figure 3-1). Month (x 1 corresponds to Jan.) Number of Clients Number of Clients Admitted to Program 100 80 60 40 20 y 0 0 1 2 3 4 5 6 7 8 9 10 11 12 x Figure 3-1 From the increase in clients shown in this graph, management for the rehabilitation center might make plans for the future. If the trend continues, management might consider expanding its facilities and increasing its staff to accommodate the expected increase in clients. Concepts 1. Interpreting Graphs 2. Plotting Points in a Rectangular Coordinate System 3. Applications of Plotting and Identifying Points Number of Month Clients Jan. 1 55 Feb. 2 62 March 3 64 April 4 60 May 5 70 June 6 73 July 7 77 Aug. 8 80 Sept. 9 80 Oct. 10 74 Nov. 11 85 Dec. 12 90
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