Section 3.1 Rectangular Coordinate System 201 Concept 3: Applications of Plotting and Identifying Points For Exercises 23–24, refer to the graph. (See Example 3.) 23. Estimate the coordinates of the points A, B, C,D, E, and F. 24. Estimate the coordinates of the points G,H, I, J, K, and L. 5 4 3 y A I G 2 1 21 25. A map of a park is laid out with the visitor center located at the origin. Five visitors are in the park located at points A,B,C,D, and E. All distances are in meters. a. Estimate the coordinates of each visitor. (See Example 3.) b. How far apart are visitors C and D? D E H C F B J K 54 3 1 2 3 5 1 2 3 4 5 x 4 L 26. A townhouse has a sprinkler system in the backyard.With the water source at the origin, the sprinkler heads are located at points A,B,C,D, and E. All distances are in feet. a. Estimate the coordinates of each sprinkler head. b. How far is the distance from sprinkler head B to C? 27. A movie theater has kept records of popcorn sales versus movie attendance. a. Use the table to write the corresponding ordered pairs using the movie attendance as the x-variable and sales of popcorn as the y-variable. Interpret the meaning of the first ordered pair. (See Example 4.) 600 550 500 450 400 350 300 200 150 100 D 100 300 100 100 300 400 C 400 300 200 0 0 50 100 150 200 250 300 350 400 450 500 550 Sales ($) Number of People 250 50 y x b. Plot the data points on a rectangular coordinate system. 24 20 16 12 242016128 4 x E 4 B A 8 12 16 4 y 8 4 8 12 Movie Attendance Sales of (Number of People) Popcorn ($) 250 225 175 193 315 330 220 209 450 570 400 480 190 185 500 200 100 500 x B A E D C 500 300 500 y
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