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Pre-Calculus Homework Solutions 60

# Pre-Calculus Homework Solutions 60 - 41 Let(x1 y1 37 Find...

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37. Find the slope of KL . m ¬ ( ( y x 2 2 y x 1 1 ) ) ¬ 2 12 2 7 ¬ 0 19 which is undefined KL is a vertical line, so a line parallel to KL through Q ( 2, 4) is also vertical. Draw a vertical line through ( 2, 4). 38. Find the slope of DE . m ¬ ( ( y x 2 2 y x 1 1 ) ) ¬ 0 5 2 0 ¬ 5 2 Since 5 2 5 2 1, the slope of the line perpendicular to DE through W (6, 4) is 5 2 . Start at (6, 4). Move up 5 units and then move right 2 units. Draw the line through this point and (6, 4). 39. Sample answer: The median age in 1970 is approximately 28. The median age in 2000 is 35.3. Find the slope of the line through (1970, 28) and (2000, 35.3). m ¬ ( ( y x 2 2 y x 1 1 ) ) ¬ 20 3 0 5 0 .3 1 2 9 8 70 ¬ 7 3 . 0 3 ¬ 0.24 The annual rate of change is approximately 0.24 year per year. 40. Sample answer: Let ( x 1 , y 1 ) (2000, 35.3) and m 0.24. m ¬ ( ( y x 2 2 y x 1 1 ) ) 0.24 ¬ 20 y 1 2 0 3 2 5 0 .3 00 0.24 ¬ y 2 10 35.3 2.4 ¬ y 2 35.3 37.7 ¬ y 2 The median age will be 37.7 in 2010. 41. Let ( x 1 , y 1 ) (2000, 35.3) and m 1 3 . m ¬ ( ( y x 2 2 y x 1 1 ) ) 1 3 ¬ 4 x 0 2 .6 20 3 0 5 0 .3 x 2 2000 ¬ 3(5.3) x 2 ¬ 2015.9 The median age will be 40.6 in 2016.
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