chapter 8 exponential functions answer key
TRANSCRIPT
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 1
8.1 Exponential Properties Involving Products
Answers
1. 45
2. (3π₯)3
3. (β2π)4
4. 63π₯2π¦4
5. 23π₯2π¦2
6. 625
7. 64
8. 0.00001
9. -0.216
10. 126.44
11. 0.072
12. 10,077,696 or 69
13. 4096 or 212
14. 576 or 242
15. π₯6
16. 6π¦5
17. 60π7
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 2
8.2 Exponential Terms Raised to an Exponent
Answers
1. π12
2. π₯2π¦2
3. β125π¦3
4. 81π8π12
5. β32π₯5π¦20π§10
6. β12,800π₯5
7. π₯5π¦3
8. 64π14
9. 1728π₯3π¦3
10. 6π₯7π¦6
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 3
8.3 Exponential Properties Involving Quotients
Answers
1. 54 = 625
2. 64 = 1296
3. 3β6 =1
729
4. 62
52 =36
25
5. 52
34 =25
81
6. π
7. 1
π₯4
8. π₯4
π¦3
9. 3π
10. 3π₯4
11. 5π₯4
4π¦4
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 4
8.4 Exponent of a Quotient
Answers
1. 9
64
2. 26
39 =64
19683
3. 44
22 = 64
4. π3π6
5. 184π16
154π40 =184
154π24
6. π₯6
π¦6
7. 60π3
16π7
8. 3π2π4
9. 972
10. β27
11. 8
81
12. 0
13. 72π
4
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 5
8.5 Negative Exponents
Answers
1. π¦2
π₯
2. 1
π₯4
3. π₯4
4. π§7
π₯3π¦5
5. π2
π2
6. 27πβ6π6π9
7. π4
8. 5π₯β2π¦
9. 64πβ2π13
10. 3π₯7π¦β2
11. πβ2πβ3π
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 6
8.6 Fractional Exponents
Answers
1. π₯
52
π¦13
2. 1
3. 1
4. π₯8
π¦
5. βπ₯π¦5
6. βπ3πβ34
7. 3π₯π¦
8. π₯β1π¦
9. βπβ1 βπβ23
10. (π
34
π12
)
2
= βπ3πβ1
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 7
8.7 Evaluating Exponential Expressions
Answers
1. 1
9
2. β1
64
3. 1
4. 64
5. 64
6. 512
7. 16
8. 41
9. 272
252 =729
625
10. 1
12
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 8
8.8 Scientific Notation
Answers
1. 310.2
2. 74,000
3. 0.00175
4. 0.000029
5. 0.00000000999
6. 1.2 Γ 105
7. 1.765244 Γ 106
8. 1.2 Γ 101
9. 2.81 Γ 10β3
10. 2.7 Γ 10β8
11. 8 significant digits
12. 9 significant digits
13. 3 significant digits
14. 7 significant digits
15. 3.0
16. 83
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 9
8.9 Scientific Notation with a Calculator
Answers
1. 7.7 Γ 1011
2. 7 Γ 106
3. 3.72 Γ 10β8
4. 2 Γ 10β3
5. 4.8 Γ 1012
6. 6.6 Γ 10β4
7. 2.5 Γ 10β5
8. 5 Γ 1015
9. 3 Γ 10β8
10. 1.5 Γ 107 mi2
11. 9.6 Γ 104 coulombs
12. 6.8 Γ 108 miles per hour
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 10
8.10 Geometric Sequences and Exponential Functions
Answers
1. 2, 6, 18, 54, 162
2. 90, -30, 10, -3.34, 1.11
3. 6, -12, 24, -48, 96
4. 1, 5, 25, 125, 625
5. 5, 25, 125, 625, 3125
6. 25, 125, 625, 3125, 15625
7. Items 4, 5, and 6 are the same sequence
8. 3, 12, 48, 192, 768
9. 81, 27, 9, 3, 1
10. 9
4,
π
π, π,
2
3,
π
π
11. 2, β6, 18, β54, 162
12. 128
13. π4 = 2.95
14. π10 = 196830
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 11
15. π = 2, π1 = 7
16. π = β43
, π1 = 17.64 = (28
β43 )
17.
a. Answers will vary, but π1 = 1, π3 = 9, π = 3 is common
b. Answers will vary, but π1 = 1, π2 = 9, π = 9 is common
c. Answers will vary, but π1 = 6, π3 = 24, π = 2 is common
d. Answers will vary, but π1 = 6, π2 = 24, π = 4 is common
e. π = 3
f. π =1
3
g. The ratios are multiplicative inverses.
18. π3 = 43.2
a. π3 = 43.2 feet
b. π12 = 0.435 feet
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 12
8.11 Graphs of Exponential Functions
Answers
1.
2.
3.
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 13
4.
5.
6.
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 14
7.
8.
9. Graphs 1 and 7 are mirrored
10. π¦ = 3(10)βπ₯
11. π¦ = 5βπ₯
12. π¦ = 4 (3
2)
βπ₯
13.
a. 107 people
b. 97 people
14. $443.12
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 15
8.12 Applications of Exponential Functions
Answers
1. $443.12
2. $452.90
3. 425 people
4.
a. 80.65% remaining
b. 65.21% remaining
c. Answers will vary
d. Answers will vary. Correct time is apx. 19 Β½ hrs.
5.
a. 1147 species remain
b. 1218 species in 1980
6. 343 stores on Jan. 1, 2007, or 370 on Dec 31, 2007
7.
a. $833.82
b. $653.53
c. Investment a
8.
a.
b. π¦ =. 82π₯(7200)
c. $990
Chapter 8 β Exponential Functions Answer Key
CK-12 Algebra I Concepts 16
9.
a. 0.70
b. 100%
c. 1.3%
10.
a.
b. π¦ = 0.25π₯(2000000)
c. Only 2 bacteria remain after 10 days
d. None remain (only actually requires 11 days)