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a) Write a linear equation to model this data. Use the data points for 1980 and 2000. Let x represent the number of years after 1980, and let y represent the percent of females in Belgium in the workforce. b) Explain the meaning of the slope in the context of the problem. c) Use the equation to determine the percentage of Belgian women in the workforce in 1990. How does it compare to the actual number on the chart? d) Do the same as part c) for the year 1995. e) In what year were 58% of Belgian women working? 110) The chart shows the percentage of females in Belgium (15–64 yr old) in the workforce between 1980 and 2000. (Statistical Abstract of the United States) Percentage Percentage of Females in the Workforce in Belgium 62 59 56 53 50 47 44 47.0 52.4 56.1 59.2 1980 1990 2000 Year 1995 R4) Using the standard form Ax By C, can you determine the slope and y-intercept of a line by inspection? (Hint: Solve the equation Ax By C for y). R5) Which exercises in this section do you fi nd most challenging? R1) If two lines are perpendicular, how are their slopes related? R2) How do you determine if an ordered pair represents a y-intercept point? R3) Why do equations of vertical or horizontal lines only involve one variable term? 4.4 Linear and Compound Linear Inequalities in Two Variables What are your objectives for Section 4.4? How can you accomplish each objective? 1 Graph a Linear Inequality in Two Variables • Know the defi nition of a linear inequality in two variables. • Learn the two methods for graphing a linear inequality in two variables, and write them in your own words. • Understand what it means when a region is shaded and when a region is not shaded. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Graph a Compound Linear Inequality in Two Variables • Learn the procedure for Graphing Compound Linear Inequalities in Two Variables. • Understand the difference between the intersection of two solution sets and the union of two solution sets. • Choose a test point to check the shaded solution. • Complete the given examples on your own. • Complete You Trys 3 and 4. 186 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith


messersmith_power_intermediate_algebra_1e_ch4_7_10
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