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Ch 8 Exponents and Exponential Functions

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Presentation on theme: "Ch 8 Exponents and Exponential Functions"— Presentation transcript:

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2 Ch 8 Exponents and Exponential Functions

3 Ch 1 Connections to Algebra
-variables, exponents and powers, order of operation, equations and inequalities, tables and graphs Ch 2 Properties of Real Numbers -addition, subtraction, multiplication, division, matrices, probability and odds Ch 3 Solving Linear Equations -adding and subtracting, multiplying and dividing equations, decimal equations, formulas, rates, ratios, percents Ch 4 Graphing Linear Equations and Functions -coordinates and scatter plots, quick graphs with intercepts, slope, direct variation, quick graphs using slope-intercept, solving equations by graphing, functions and relations Ch 5 Writing Linear Equations -using slope-intercept form, given slope and a point, given two points, best fitting line, point-slope form, standard form, predicting with linear models

4 6.1 Solving One-Step Linear Inequalities x + 8 > 1
6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12 6.3 Solving Compound Inequalities -5<2x + 3 < 7 6.4 Solving Absolute-value Equations and Inequalities |x-4|=8 |5x+1|+3 =14 6.5 Graphing Linear Inequalities in Two Variables Graph x + y > 3

5 6.6 Stem and leaf plots; mean, median, mode
6.7 Box and whisker plots

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11 Ch 8 Exponents and Exponential Functions

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13 Summary Rule 73•72=75 aman = am+n

14 Summary Rule = (am)n = amn

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24 8.1 p # even, 75-79, 82-84

25 8.1 p # even, 75-79, 82-84

26 75.) V=4/3 π r3 r=3a V=4/3 π(3a)3 V=4/3 π(3)3a3 V=(4/3)(27) πa3 V=36πa3 or a3 76.) V=(1/3) πr2h h=24 r=2b2 V=(1/3) π(2b2)2(24) V=(1/3) π(22)(b2)2(24) V=(1/3) π(4)(b4)(24) V=32 πb4 or b4 8.1 p # even, 75-79, 82-84

27 79)a) Total possible answers = Part A + Part B =210 +(22)10 230 ways to answer all 20 questions 8.1 p # even, 75-79, 82-84

28 8.1 p # even, 75-79, 82-84

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31 X 2x -3 -2 -1 1 2 3

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33 8.2 p even

34 8.2 p even

35 8.2 p460 #46-48, even,66-70 all

36 8.2 p460 #46-48, even,66-70 all

37 8.2 p460 #46-48, even,66-70 all

38 X (1/5)x -3 -2 -1 1 2 3 8.2 p460 #46-48, even,66-70 all

39 X (5)x -3 -2 -1 1 2 3 8.2 p460 #46-48, even,66-70 all

40 X 3x (1/3)x -2 -1 1 2 3 8.2 p460 #46-48, even,66-70 all

41 8.2 p460 #46-48, even,66-70 all

42 8.2 p460 #46-48, even,66-70 all

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49 8.3 p even

50 8.3 p even

51 8.3 p even

52 8.3 p even

53 8.3 p #49-66

54 8.3 p #49-66

55 8.3 p #49-66

56 8.3 p #49-66

57 8.3 p #49-66

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61 Height (0)=.0032 Height (1) = 2(.0032) Height (2) = 2(2(.0032)) Height (3) = 2(2(2(.0032))) Height (4) = 2(2(2(2(.0032)))) Height (25) = 225(.0032) = 107, inches or feet

62 To review for the quiz over 8.1-8.3

63 Review quiz on p469

64 X (5)x -3 -2 -1 1 2 3

65 34,690 b. 1.78 c d e. 5,600,000,000

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70 8.4 p #16-56 even, 58-60,62

71 8.4 p #16-56 even, 58-60,62

72 8.4 p #16-56 even, 58-60,62

73 8.4 p #16-56 even, 58-60,62

74 8.4 p #16-56 even, 58-60,62

75 8.4 p #16-56 even, 58-60,62

76 8.4 p #16-56 even, 58-60,62

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78 W=C(1+r)t C=0.3 grams R=.10 T=1 day C=0.3 grams R=.10 T=42 days

79 P=C(1+r)t C=20 rabbits R=200% T=5 years
P=C(1+r)t C=20 rabbits R=200% T=5 years

80 Y= C(1+r)t C=$500 R=.04 T=5 and 10 Y=500(1+.04)5 =$608.33

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82 #6-16 even, 18-24,29-31

83 #6-16 even, 18-24,29-31

84 #6-16 even, 18-24,29-31

85 #6-16 even, 18-24,29-31

86 21.) Y=10,000(1+.25)t t=0 to 10 21.) Y=20,000(1+.20)t t=0 to 10 C=10,000 C=20,000 1 10,000 20,000 2 3 5 10 93,132 123,834 #6-16 even, 18-24,29-31

87 30 1 2 3 4 P=C(1+r)t C=30 R=100, Growth factor=200 T=4 P=30(1+1)4 P=30(2)4 P=30(16) P=480 mice in 4 years #6-16 even, 18-24,29-31

88 #6-16 even, 18-24,29-31

89 #6-16 even, 18-24,29-31

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93 Exponential Growth Y=C(1+r)t (1+r)>1 Exponential Decay Y=C(1-r)t (1-r)<1

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96 8.6 p488 #10-26,(27-29, 31-34,35-39) T=C(1-r)t T=20,000(1-.15)^3
8.6 p488 #10-26,(27-29, 31-34,35-39)

97 8.6 p488 #10-26,(27-29, 31-34,35-39)

98 8.6 p488 #10-26,(27-29, 31-34,35-39)

99 8.6 p488 #10-26,(27-29, 31-34,35-39)

100 8.6 p488 #10-26,(27-29, 31-34,35-39)

101 64 1 2 3 4 5 6 8.6 p488 #10-26,(27-29, 31-34,35-39)

102 Year Miles 1894 M=302(1-.1)^0= 302 1896 2 M=302(1-.1)^2=244 1898 4
Cable Car Miles=302 (1-.10)^t t=1 to 9 Year Miles 1894 M=302(1-.1)^0= 302 1896 2 M=302(1-.1)^2=244 1898 4 M=302(1-.1)^4=198 1900 6 M=302(1-.1)^6=161 1901 7 M=302(1-.1)^7=144 1903 9 M=302(1-.1)^9=117 8.6 p488 #10-26,(27-29, 31-34,35-39)

103 Sweater=C(1-.2)t t=0 to 5 Example=$40 1 2 3 4 5 8.6 p488 #10-26,(27-29, 31-34,35-39)

104 8.6 p488 #10-26,(27-29, 31-34,35-39)

105 8.6 p488 #10-26,(27-29, 31-34,35-39)

106 8.6 p488 #10-26,(27-29, 31-34,35-39)

107 T y=4^t -3 -2 -1 1 2 3 Graphing Calculator 8.6 p488 #10-26,(27-29, 31-34,35-39)

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