Section 3.1 Rectangular Coordinate System 197 3. Applications of Plotting and Identifying Points The effective use of graphs for mathematical models requires skill in identifying points and interpreting graphs. Determining Points from a Graph 12 A map of a national park is drawn so that the origin is placed at the ranger station (Figure 3-4). Four fire observation towers are located at points A,B,C, and D. Estimate the coordinates of the fire towers relative to the ranger station (all distances are in miles). Solution: Point A: (1,3) Point B: (2, 3) Point C: Point D: 11Skill Practice 6. Towers are located at points A, B, C, and D. Estimate the coordinates of the towers. , 22 or 132 , 22 or 11.5, 22 1312 , 112 2 or 172 , 32 2 or 13.5, 1.52 Example 3 5 4 3 2 1 B y 5 43 1 2 3 4 5 5 4 3 2 1 2 1 Plotting Points in an Application Example 4 The daily low temperatures (in degrees Fahrenheit) for one week in January for Sudbury, Ontario, Canada, are given in Table 3-2. a. Write an ordered pair for each row in the table using the day number as the x-coordinate and the temperature as the y-coordinate. b. Plot the ordered pairs from part (a) on a rectangular coordinate system. 21 1 2 3 4 5 A D 3 Solution: a. Each ordered pair represents the day number and the corresponding low temperature for that day. 11, 32 12, 52 13, 12 14, 62 15, 52 16, 02 17, 42 x C Figure 3-4 Answer 6. A(5, ) 412 B(0, 3) C (4,2) D (2,4) 5 43 1 2 3 4 5 1 2 3 4 5 A B y x C D Table 3-2 Day Number, Temperature (F), x y 1 2 5 3 1 4 6 5 5 6 0 7 4
miller_beginning_intermediate_algebra_4e_ch1_3
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