IAT SOLUTIONS - C_7.pdf

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.Chapter 7, continued34. a. lnP 5.004 5.455 5.872 6.265 6.633 6.981lnT 4.094 4.248 4.382 4.500 4.605 4.7001ln P(5.455, 4.248)1(6.633, 4.605)ln T4.605 2 4.248b. M 5 }}6.633 2 5.455 ø 0.30ln T 2 4.605 5 0.30(ln P 2 6.633)c. When P 5 620:ln T 5 0.3ln P 1 2.615ln T 5 ln P 0.3 1 2.615T 5 e ln P0.3 1 2.615T 5 e 2.615 ln P0.3p eT 5 13.6672P 0.3T 5 13.6672(620) 0.3 ø 13.6672(6.8820) ø 94The water boils at a temperature of about 948Cwhen the atmospheric pressure is 620 millimeters ofmercury.35. a. x 10 20 30 40 50 60ln y 2.303 2.485 2.708 3.219 3.689 4.6051ln y10 xb. ln x 2.303 2.996 3.401 3.689 3.912 4.094ln y 2.303 2.485 2.708 3.219 3.689 4.6051ln y1 ln xc. Because the scatter plot from part (a) appears to bemore linear, an exponential model is better fit for theoriginal data.36.3.6 2 2.485d. M 5 } ø 0.04545 2 20ln y 2 2.485 5 0.045(x 2 20)ln y 5 0.045x 1 1.5850.045x 1 1.585y 5 ey 5 e 1.585 (e 0.045 ) xy 5 4.88(1.05) xWhen x 5 80: y 5 4.88(1.05) 80y 5 4.88(49.56)y 5 241.85The linear point for an 80-year-old person is about242 cm.x 0 2 4 6 8ln y 5.147 4.883 4.700 4.522 4.431x 10 12 14ln y 4.357 4.317 4.2771ln y(2, 4.883)2(12, 4.317)4.317 2 4.883M 5 }} ø 20.0612 2 2ln y 2 4.883 5 20.06(x 2 2)ln y 5 20.06x 1 5.003Mixed Review20.06x 1 5.003y 5 ey 5 e 5.003 (e 20.06 ) xy 5 148.86(0.94) x37. y 5 kx when x 5 6 and y 5 4848 5 k(6)8 5 ky 5 8x38. y 5 kx When x 5 27 and y 5 2828 5 k(27)24 5 ky 5 24x39. y 5 kx When x 5 10 and y 5 66 5 k(10)0.6 5 ky 5 0.6xxAlgebra 2Worked-Out Solution Key457