MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 2 Question 9 Page 379 ! 1$ a) A(t) = A 0 " # 2% & ! 9 = 10 1 $ " # 2% & ! 0.9 = 1 $ " # 2% & 3 h t h 3 h ! log0.9 = log 1 $ " # 2% & 3 h log0.9 = 3 h log 1 2 3 h = log0.9 log 1 2 b) h = 3log 1 2 log0.9 h &= 19.7 The half-life of bismuth-214 is approximately 19.7 min. c) i) A shorter half-life means less time for the substance to decay. The graph would decrease faster since it takes less time for the sample to decay. ii) A longer half-life means more time for the substance to decay. The graph would decrease at a slower rate since it takes more time for the sample to decay. d) i) A greater sample size means more substance to decay in the same amount of time. The graph would have a steeper slope (negative). ii) A smaller sample size means less substance to decay in the same amount of time. The graph would have a slope that isn’t as steep. MHR • Advanced Functions 12 Solutions 681
Chapter 7 Section 2 Question 10 Page 376 (4 x ) 2 + 2(4 x ) + 3 = 0 a = 1, b = 2, c = 3 4 x = !2 ± 22 ! 4(1)(3) 2(1) 4 x !2 ± !8 = 2 There are no real roots. Chapter 7 Section 2 Question 11 Page 376 a) (3 x ) 2 – 7(3 x ) + 12 = 0 a = 1, b = –7, c = 12 3 x = !(!7) ± (!7)2 ! 4(1)(12) 2(1) 3 x = 7 ± 1 2 3 x = 7 ±1 2 3 x = 8 2 or 3 x = 6 2 3 x = 4 3 x = 3 x log3 = log 4 x = 1 x = log 4 log3 x &= 1.26 MHR • Advanced Functions 12 Solutions 682
Page 1 and 2: Chapter 7 Tools and Strategies for
Page 3 and 4: c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
Page 5 and 6: Chapter 7 Prerequisite Skills Quest
Page 7 and 8: Chapter 7 Section 1 Question 4 Page
Page 9 and 10: ) c) d) Chapter 7 Section 1 Questio
Page 11 and 12: Chapter 7 Section 1 Question 10 Pag
Page 17 and 18: Chapter 7 Section 2 Techniques for
Page 19 and 20: c) Answers may vary. A sample solut
Page 21: Chapter 7 Section 2 Question 8 Page
Page 25 and 26: f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
Page 27 and 28: d) e) There is no zero so there is
Page 37 and 38: d) 2log w + 3log w + 1 2 log ! 1 $
Page 43 and 44: ) Let x = log b m and y = log b n b
Page 47 and 48: Chapter 7 Section 4 Techniques for
Page 51 and 52: Check: d) 1 = log( y + 9) ! log y "
Page 53 and 54: ! f) log p + 5 $ " # p +1% & = 3 p
Page 65 and 66: ) i) y &= 4.21x - 3.07 ii) y &= 0.8
Page 73 and 74:
Chapter 7 Section 5 Question 15 Pag
Page 75 and 76:
Chapter 7 Review Chapter 7 Review Q
Page 77 and 78:
! b) 0.05 = 1 $ " # 2% & t 5 log0.0
Page 79 and 80:
Chapter 7 Review Question 7 Page 40
Page 81 and 82:
Chapter 7 Review Question 13 Page 4
Page 83 and 84:
d) i) A = 500(1.033) 2t + 500(0.01)
Page 85 and 86:
Chapter 7 Practice Test Question 6
Page 87 and 88:
d) Chapter 7 Practice Test Question
Page 89 and 90:
Chapter 7 Practice Test Question 10
Page 91:
e) i) y &= 95.67(0.96) 15 y &= 49.6
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MHR • Advanced Functions 12 Solutions 660

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