MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Practice Test Question 12 Page 411 a) Answers may vary. A sample solution is shown. Yes, a quadratic curve of best fit could be drawn through the points since the points are nearly the shape of a quadratic. b) Answers may vary. A sample solution is shown. Yes, an exponential curve of best fit could be drawn through the points since they follow the shape of an exponential equation. c) Answers may vary. A sample solution is shown. i) population of a bacteria culture over time ii) surface area affected by an oil spill over time Chapter 7 Practice Test Question 13 Page 411 a) b) c) y &= 0.17x 2 – 5.34x + 97.93 y &= 95.67(0.96) x d) Answers may vary. A sample solution is shown. The exponential model is better for predicting values for x > 15.74. The quadratic model gives increasing values, which is not realistic. MHR • Advanced Functions 12 Solutions 749
e) i) y &= 95.67(0.96) 15 y &= 49.6 The tea is approximately 49.6°C after 15 min. ii) 38 &= 95.67( 0.96) x 0.40 &= 0.96 x log0.40 &= x log0.96 x &= log0.40 log0.96 x &= 21.1 It would take approximately 21.1 min for the tea to reach 38°C. f) Answers may vary. A sample solution is shown. The temperature of the room was constant. MHR • Advanced Functions 12 Solutions 750
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Chapter 7 Tools and Strategies for
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c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
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Chapter 7 Prerequisite Skills Quest
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Chapter 7 Section 1 Question 4 Page
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) c) d) Chapter 7 Section 1 Questio
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Chapter 7 Section 1 Question 10 Pag
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Chapter 7 Section 2 Techniques for
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c) Answers may vary. A sample solut
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f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
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d) e) There is no zero so there is
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d) 2log w + 3log w + 1 2 log ! 1 $
Page 39 and 40: Chapter 7 Section 3 Question 13 Pag
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 49 and 50: Chapter 7 Section 4 Question 3 Page
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 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: Chapter 7 Practice Test Question 10
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MHR • Advanced Functions 12 Solutions 660

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