156 Chapter 2 Linear Equations in Two Variables and Functions 63. The data in the graph show the average weight for boys based on age. a. Use the coordinates of the given points to find the slope of the line. b. Interpret the meaning of the slope in the context of this problem. 64. The data in the graph show the average weight for girls based on age. a. Use the coordinates of the given points to find the slope of the line, and write the answer in decimal form. b. Interpret the meaning of the slope in the context of this problem. 100 Weight (lb) 0 1 2 3 4 5 6 7 8 9 10 11 12 Age (yr) 80 60 40 20 0 Average Weight for Boys by Age (5, 44.5) (10, 74.5) 100 Weight (lb) 0 1 2 3 4 5 6 7 8 9 10 11 12 Age (yr) 90 80 70 50 60 40 30 20 10 0 Average Weight for Girls by Age (5, 42.5) (11, 87.5) Mixed Exercises The slope of a line is constant.This also means that the rate of change of y versus x is constant between any two points on the line. For Exercises 65–66, demonstrate this statement by computing the slope of the line using each pair of points on the line. 65. a. (1,4) and (0,2) b. (0,2) and (3, 4) c. (1,4) and (3, 4) 66. a. (4,1) and (0, 1) b. (0, 1) and (2, 2) c. (0, 1) and (4, 3) 4 5 5 4 3 2 1 252423 2221 1 2 3 (21, 24) 21 22 23 24 25 x y (3, 4) (0, 22) 4 5 (0, 1) 5 4 3 2 1 252423 2221 1 2 3 21 22 23 24 25 x y (4, 3) (2, 2) (24, 21) Given a nonlinear graph, the rate of change of y versus x may differ for different pairs of points on the graph. For Exercises 67–68, demonstrate this statement by computing the slope formula with each pair of points on the curve. 67. a. (2, 0) and (0,4) b. (0,4) and (2, 0) c. (2, 0) and (3, 5) 68. a. (3,8) and (2,3) b. (2,3) and (0, 1) c. (0, 1) and (2, –3) (3, 5) 4 5 5 4 3 2 1 252423 1 3 (0, 24) 21 21 22 23 x 6 y 22 2 24 (23, 25) (22, 0) (2, 0) 4 5 y (0, 1) 1 22 2 252423 1 3 (2, 23) (22, 23) 21 21 22 23 24 25 26 27 28 29 x (23, 28) (3, 28)
miller_intermediate_algebra_4e_ch1_3
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