Pre-Calculus Homework Solutions 60

Pre-Calculus Homework Solutions 60 - 41. Let (x1, y1) 37....

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37. Find the slope of KL @ #\$ . m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 2 2 12 2 2 2 7 } 5 ¬ } 2 0 19 } which is undefined KL @ is a vertical line, so a line parallel to KL @ through Q ( 2 2, 2 4) is also vertical. Draw a vertical line through ( 2 2, 2 4). 38. Find the slope of DE @ . m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 0 5 2 2 2 0 } 5 ¬ } 2 5 2 } Since 1 } 2 5 2 } 21 } 5 2 } 2 52 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 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 20 3 0 5 0 .3 2 2 1 2 9 8 70 } 5 ¬ } 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 ) 5 (2000, 35.3) and m 5 0.24. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 0.24 5 ¬ } 20 y 1 2 0 2 2 3 2 5 0 .3 00 } 0.24 5 ¬ } y 2 2 10 35.3 } 2.4 5 ¬ y 2 2 35.3 37.7 5 ¬ y 2 The median age will be 37.7 in 2010. 41. Let ( x 1 , y 1 ) 5 (2000, 35.3) and m 5 } 1 3 } . m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } } 1 3 } 5 ¬ } 4 x 0 2 .6 2 2 20 3 0 5 0 .3 } x 2 2 2000 5 ¬ 3(5.3) x 2 5 ¬ 2015.9 The median age will be 40.6 in 2016. 42. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 2 } 3 7 } 5 ¬ } 2 x 1 2 2 6 2 } 2 } 3 7 } 5 ¬ } x 2 2 3 6 } 7 5 ¬ x 2 6 13 5 ¬ x 43. m 1 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 2 2 1 2 2 4 8 } 5 ¬ } 9 2
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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