7600 7300 7000 6700 6400 6100 www.mhhe.com/messersmith 56) contains (6, 5) and (4, 10) 57) contains (3, 6) and (9, 2) 58) m 1 2 and contains (8, 3) 59) horizontal line containing (1, 9) 60) vertical line containing (4, 0) Write the standard form of the equation of the line given the following information. 61) contains (2, 2) and (8, 7) 62) m 1 and contains (4, 7) 63) m 3 and contains a4 3 , 1b 64) contains (15, 2) and (5, 10) 65) m 6 and y-intercept (0, 0) 66) m 5 3 and y-intercept (0, 2) 67) contains (1, 1) and (7, 5) 68) m 1 6 and contains (17, 2) 69) The chart shows the number of wireless communication subscribers worldwide (in millions) from 2001–2004. (Dell’Oro Group and Standard and Poor’s Industry Surveys) Number (in millions) Worldwide Wireless Subscribers Year 1147.1 1343.2 (E Estimated) 1400 1200 1000 800 600 400 200 0 944.2 1502.9 2001 2002 E2003 E2004 a) Write a linear equation to model this data. Use the data points for 2001 and 2004. Let x represent the number of years after 2001, and let y represent the number of worldwide wireless subscribers, in millions. Round to the nearest tenth. b) Explain the meaning of the slope in the context of the problem. c) Use the equation to determine the number of subscribers in 2003. How does it compare to the value given on the chart? Graph the line containing the given point and with the given slope. 38) (3, 2); m 4 39) (1, 5); m 3 40) (2, 6); m 5 2 41) (3, 2); slope undefi ned 42) (5, 2); m 0 Identify the slope and y-intercept, then graph the line. 43) y x 3 44) y 2x 7 45) y 3 4 x 1 46) y 1 4 x 2 47) x 3y 6 48) 2x 7y 35 49) x y 0 50) y 3 4 51) Personal consumption expenditures in the United States since 1998 can be modeled by y 371.5x 5920.1, where x represents the number of years after 1998, and y represents the personal consumption expenditure in billions of dollars. (Bureau of Economic Analysis) Personal Consumption Expenditures 0 4 5 1 2 3 Number of years after 1998 5800 Personal consumption expenditures (billions of $) 7900 a) What is the y-intercept? What does it mean in the context of the problem? b) Has the personal consumption expenditure been increasing or decreasing since 1998? By how much per year? c) Use the graph to estimate the personal consumption expenditure in the year 2002. Then, use the equation to determine this number. (4.3) 52) Write the point-slope formula for the equation of a line with slope m and which contains the point (x1, y1). Write the slope-intercept form of the equation of the line, if possible, given the following information. 53) m 7 and contains (2, 5) 54) m 8 and y-intercept (0, 1) 55) m 4 9 and y-intercept (0, 2) CHAPTER 4 Review Exercises 223
messersmith_power_intermediate_algebra_1e_ch4_7_10
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