5 4 3 2 1 2 1 1 y x (3, 3) 2 1 (1, 2) (3, 3) (1, 1) (3, 1) 5 4 3 2 1 543 1 2 3 4 5 1 2 3 4 5 5 4 3 2 1 2 1 1 y x 5 4 3 2 1 543 1 2 3 4 5 2 1 1 2 3 4 5 (1, 0) 232 Chapter 2 Linear Equations in Two Variables and Functions c. What does the y-intercept mean in the context of this problem? d. How much will Jack earn in a month if he sells 17 automobiles? 21. The graph represents the life expectancy for females in the United States according to birth year.The value x 0 represents a birth year of 1940. Life Expectancy for Females in the United States According to Birth Year (30, 75) (0, 66) Source: National Center for Health Statistics a. Determine the y-intercept from the graph. What does the y-intercept represent in the context of this problem? b. Using the two points (0, 66) and (30, 75), determine the slope of the line.What does the slope of the line represent in the context of this problem? c. Use the y-intercept and the slope found in parts (a) and (b) to write an equation of the line by letting x represent the year of birth and y represent the corresponding life expectancy. d. Using the linear equation from part (c), approximate the life expectancy for women born in the United States in 1994. How does your answer compare with the reported life expectancy of 79 yr? y x 5 4 3 2 1 2 1 543 1 2 3 4 5 1 2 3 4 5 y x 5 4 3 2 1 2 1 543 1 2 3 4 5 1 2 3 4 5 90 50 0 50 60 Life Expectancy (years) Year of Birth (x 0 corresponds to 1940) 70 80 70 60 10 20 30 40 For Exercises 22–25, graph the functions. 22. 23. k1x2 f 2 1x2 3x 1 24. 25. w 1x2 p x 1x2 x2 y x 543 1 2 3 4 5 2 3 4 5 y 543 1 2 3 4 5 2 3 4 5 For Exercises 26–27, a. determine if the relation defines y as a function of x, b. identify the domain, and c. identify the range. 26. 27. For Exercises 28–30, write the domain in interval notation. 28. 29. 30. f 1x2 x 5 x 7 f 1x2 1x 7 h1x2 1x 721x 52 31. Given: r(x) x2 2x 1 a. Find r (2), r(0), and r(3). b. What is the domain of r? 32. The function defined by s(t) 1.6t 36 approximates the per capita consumption of soft drinks in the United States since 1985.The values of s(t) are measured in gallons, and t 0 corresponds to the year 1985. (Source:U.S. Department of Agriculture) a. Evaluate s(0) and s(7) and interpret the results in the context of this problem. b. Determine the slope and interpret its meaning in the context of this problem.
miller_intermediate_algebra_4e_ch1_3
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