216 Chapter 3 Graphing Linear Equations in Two Variables Study Skills Exercise Before you proceed further in Chapter 3, make your test corrections for the Chapter 2 test. See Study Skills Exercise in Section 2.1 for instructions. Vocabulary and Key Concepts 1. a. In a rectangular coordinate system, two number lines are drawn at right angles to each other. The horizontal line is called the -axis, and the vertical line is called the . b. A point in a rectangular coordinate system is defined by an pair, (x, y). c. In a rectangular coordinate system, the point where the x- and y-axes intersect is called the and is represented by the ordered pair . d. The x- and y-axes divide the coordinate plane into four regions called . e. A point with a positive x-coordinate and a y-coordinate is in Quadrant IV. f. In Quadrant , both the x- and y-coordinates are negative. Concept 1: Interpreting Graphs For Exercises 2–6, refer to the graphs to answer the questions. (See Example 1.) 2. The number of Botox injection procedures (in millions) in the United States over a 5-yr period is shown in the graph. a. For which year was the number of procedures the greatest? b. Approximately how many procedures were performed in year 5? c. Which year corresponds to 2.3 million procedures? 3. The number of patients served by a certain hospice care center for the first 12 months after it opened is shown in the graph. a. For which month was the number of patients greatest? Month 10 b. How many patients did the center serve in the first month? c. Between which months did the number of patients decrease? d. Between which two months did the number of patients remain the same? Months 8 and 9 3.5 3 2.5 Number of Botox Procedures in the 1.5 90 80 70 60 50 40 30 20 10 e. Which month corresponds to 40 patients served? Month 3 f. Approximately how many patients were served during the 10th month? 80 For additional exercises, see Classroom Activities 3.1A–3.1B in the Student’s Resource Manual at www.mhhe.com/moh. 2 United States (in millions) 0 1 2 3 4 5 Number of Procedures (in millions) Year 1 0.5 0 30 Between months 3 and 5 and between months 10 and 12 0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Patients Number of Patients Served by Month 0 Month Section 3.1 Practice Exercises x y-axis origin quadrants ordered (0, 0) negative III Year 3 Approximately 2.9 million Year 1 Writing Translating Expression Geometry Scientific Calculator Video
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