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Pre-Calculus Homework Solutions 64

Pre-Calculus Homework Solutions 64 - Gallons of...

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48. 49. Find x when y 5 ¬ 0. y 5 ¬ 2 750 x 1 10,800 0 5 ¬ 2 750 x 1 10,800 750 x 5 ¬ 10,800 x < ¬ 14 The store will run out of paint after 14 days, so the manager should order more paint after 14 2 4 or 10 days. 50. Two points on the line are (120, 2 60) and (130, 2 70). m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 2 1 7 3 0 0 2 2 ( 2 12 6 0 0) } 5 ¬ } 2 1 1 0 0 } or 2 1 y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 ( 2 60) 5 ¬ 2 1( x 2 120) y 1 60 5 ¬ 2 x 1 120 y 5 ¬ 2 x 1 60 51. The slope of the Jeff Davis/Reeves County line is 2 1 (from Exercise 50), so the slope of the Reeves/Pecos County line is 1. y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 ( 2 60) 5 ¬ 1( x 2 120) y 1 60 5 ¬ x 2 120 y 5 ¬ x 2 180 52. The equation y 5 mx is the special case of y 5 m ( x 2 x 1 ) 1 y 1 when x 1 5 y 1 5 0. 53. Sample answer: In the equation of a line, the b value indicates the fixed rate, while the mx value indicates charges based on usage. Answers should include the following. • The fee for air time can be considered the slope of the equation. •We can find where the equations intersect to see where the plans would be equal.
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