IAT SOLUTIONS - C_7.pdf

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.Chapter 7, continued21. a.x 0 5 8 11 15ln y 8.700 10.275 11.806 12.525 13.998x 19 23 25 26 30ln y 14.947 15.830 16.067 17.553 18.6443ln y(2, 9.539)5(19, 14.947)14.947 2 9.539b. M 5 }} ø 0.318119 2 2ln y 2 14.947 5 0.3181(x 2 19)ln y 5 0.3181x 1 8.90310.3181x 1 8.9031y 5 exy 5 e 8.9031 p (e 0.3181 ) xy 5 7355(1.37) xc. When x 5 2008 2 1974 5 34: y 5 7355(1.37) xy 5 7355(1.37) 34 ø 327,402,447There will be about 327,400,000 transisters perintegrated circuit in 2008.d. 18 months 5 1.5 yearsWhen x 5 0: y 5 7355(1.37) 0 5 7355When x 5 1.5: y 5 7355(1.37) 1.5 ø 11,794When x 5 3: y 5 7355(1.37) 3 ø 18,912According to the model, Moore’s law does not holdbecause the value of y does not double every 1.5 years.22. a. Sample answer: The data is just short of doublingbecause the equation came from a few specific datapoints, not a generalization.When h 5 10,000: D 5 0.761e 20.0004hD 5 0.0761e 20.0004(10,000) 5 0.0761e 24 ø 0.00139The density of air is about 0.00139 pounds per cubicfoot at 10,000 feet above sea level.b. When P 5 12: P 5 14.7e 20.0004h12 5 14.7e 20.0004h12}14.7 5 e20.0004hln }12 14.7 5 20.0004h20.2029 ø 20.0004h507 ø hThe air pressure is 12 pounds per square inch at about507 feet above sea level.c. }D P 5 }0.0761 ø 0.005 The air density is roughly 0.5%14.7of the air pressure at 608F. Both are the same parentgraph with a different vertical shrink and stretch.d. When h 5 0: P 5 14.7e 20.0004(0) 5 14.7e 0 5 14.7when h 5 80: P 5 14.7e 20.0004(80)5 14.7e 20.032 ø 14.237When h 5 160: P 5 14.7e 20.0004(160)5 14.7e 20.064 ø 13.789P 802 P 0 14.237 2 14.7} 5 }} ø 20.03P 014.7P 1602 P 80 13.789 2 14.237} 5 }} ø 20.03P 8014.237No; the air pressure decreases by about 3% for every 80meter increase in altitude.Algebra 2Worked-Out Solution Key467