Appendix C Answers to Selected Exercises
1 Linear Models
1.1 Creating a Linear Model
1.1.3 Problem Set 1.1
Skills Practice
1.1.3.9.
Applications
1.1.3.11.
1.1.3.13.
1.2 Graphs and Equations
1.2.6 Problem Set 1.2
Warm Up
1.2.6.9.
Skills Practice
Applications
1.2.6.25.
1.2.6.27.
1.2.6.29.
1.2.6.33.
1.3 Intercepts
1.3.6 Problem Set 1.3
Warm Up
1.3.6.1.
Skills Practice
1.3.6.9.
1.3.6.11.
Applications
1.3.6.21.
1.3.6.23.
1.3.6.25.
1.4 Slope
1.4.5 Problem Set 1.4
Warm Up
Skills Practice
1.4.5.9.
1.4.5.17.
Applications
1.4.5.21.
1.4.5.25.
1.4.5.27.
1.4.5.29.
1.5 Equations of Lines
1.5.6 Problem Set 1.5
Warm Up
Skills Practice
Applications
1.5.6.21.
1.5.6.27.
1.5.6.29.
1.6 Chapter Summary and Review
1.6.3 Chapter 1 Review Problems
1.6.3.1.
1.6.3.2.
1.6.3.3.
1.6.3.10.
1.6.3.11.
1.6.3.20.
1.6.3.27.
1.6.3.30.
1.6.3.33.
1.6.3.34.
1.6.3.35.
2 Applications of Linear Models
2.1 Linear Regression
2.1.5 Problem Set 2.1
Warm Up
2.1.5.1.
2.1.5.2.
Skills Practice
2.1.5.5.
2.1.5.7.
Answer.
Applications
2.1.5.13.
2.1.5.15.
2.1.5.17.
2.1.5.19.
Answer.
-
-
The graph is above.
-
The slope tells us that the time it takes for a bird to attract a mate decreases by 0.85 days for every additional song it learns.
-
44.5 days
-
The
-intercept tells us that a warbler with a repretoire of 53 songs would acquire a mate immediately. The -intercept tells us that a warbler with no songs would take 62 days to find a mate. These values make sense in context.
2.2 Linear Systems
2.2.5 Problem Set 2.2
Warm Up
2.2.5.1.
Answer.
2.2.5.3.
Skills Practice
Applications
2.2.5.13.
2.2.5.15.
2.2.5.17.
2.2.5.19.
2.3 Algebraic Solution of Systems
2.3.5 Problem Set 2.3
Warm Up
2.3.5.1.
Skills Practice
Applications
2.3.5.11.
2.3.5.13.
2.3.5.15.
2.3.5.17.
2.3.5.19.
2.4 Gaussian Reduction
2.4.6 Problem Set 2.4
Warm Up
2.4.6.3.
Skills Practice
Applications
2.5 Linear Inequalities in Two Variables
2.5.5 Problem Set 2.5
Warm Up
2.5.5.1.
2.5.5.3.
Skills Practice
2.5.5.15.
Answer.
2.5.5.17.
Answer.
2.5.5.19.
Answer.
Applications
2.6 Chapter Summary and Review
2.6.3 Chapter 2 Review Problems
2.6.3.1.
2.6.3.2.
2.6.3.3.
2.6.3.4.
2.6.3.39.
2.6.3.40.
3 Quadratic Models
3.1 Extraction of Roots
3.1.9 Problem Set 3.1
Warm Up
3.1.9.1.
3.1.9.3.
3.1.9.4.
3.1.9.5.
Skills Practice
Applications
3.1.9.25.
3.1.9.27.
3.1.9.29.
3.2 Intercepts, Solutions, and Factors
3.2.6 Problem Set 3.2
Warm Up
3.2.6.5.
Skills Practice
3.2.6.27.
Applications
3.2.6.29.
3.2.6.31.
3.2.6.33.
3.2.6.34.
3.3 Graphing Parabolas
3.3.6 Problem Set 3.3
Warm Up
Skills Practice
3.3.6.9.
Applications
3.3.6.19.
3.4 Completing the Square
3.4.4 Problem Set 3.4
Warm Up
3.4.4.3.
Skills Practice
Applications
3.4.4.21.
3.4.4.23.
3.4.4.25.
3.5 Chapter 3 Summary and Review
3.5.3 Chapter 3 Review Problems
3.5.3.27.
3.5.3.28.
3.5.3.29.
3.5.3.30.
3.5.3.31.
3.5.3.32.
3.5.3.33.
3.5.3.34.
4 Applications of Quadratic Models
4.1 Quadratic Formula
4.1.6 Problem Set 4.1
Warm Up
4.1.6.3.
Skills Practice
4.1.6.11.
4.1.6.13.
4.1.6.15.
Applications
4.1.6.23.
4.1.6.25.
4.1.6.27.
Answer.
b. c. 12 ft by 18 ft by 10ft
Note 4.1.19.
According to the latest research and data, there has been an increase in the number of tigers, and now the total number of wild tigers worldwide is 5,574, according to the World Animal Foundation at https://worldanimalfoundation.org/advocate/animal-captivity-statistics/
4.2 The Vertex
4.2.5 Problem Set 4.2
Warm Up
4.2.5.1.
4.2.5.3.
Skills Practice
4.2.5.11.
Applications
4.2.5.17.
4.2.5.19.
4.2.5.21.
4.2.5.23.
4.2.5.25.
4.3 Curve Fitting
4.3.5 Problem Set 4.3
Warm Up
4.3.5.3.
Skills Practice
4.3.5.13.
Applications
4.3.5.15.
4.3.5.17.
4.3.5.19.
4.3.5.21.
4.4 Quadratic Inequalities
4.4.6 Problem Set 4.4
Warm Up
Skills Practice
4.4.6.7.
Applications
4.4.6.27.
4.4.6.33.
4.5 Chapter 4 Summary and Review
4.5.3 Chapter 4 Review Problems
4.5.3.11.
4.5.3.12.
4.5.3.17.
4.5.3.18.
4.5.3.19.
4.5.3.20.
4.5.3.21.
4.5.3.22.
4.5.3.23.
4.5.3.24.
4.5.3.25.
4.5.3.26.
4.5.3.33.
4.5.3.34.
5 Functions and Their Graphs
5.1 Functions
5.1.7 Problem Set 5.1
Warm Up
Skills Practice
5.1.7.9.
Applications
5.1.7.13.
5.1.7.15.
5.1.7.25.
5.2 Graphs of Functions
5.2.6 Problem Set 5.2
Warm Up
5.2.6.5.
Skills Practice
Applications
5.2.6.15.
Answer.
-
increases from about to in the first meters of depth, then drops to about at meters, then rises again, passing at a depth of about meters.
5.2.6.17.
5.2.6.19.
5.2.6.21.
5.3 Some Basic Graphs
5.3.4 Problem Set 5.3
Warm Up
5.3.4.1.
Skills Practice
5.3.4.17.
Applications
5.3.4.19.
5.3.4.27.
5.4 Direct Variation
5.4.6 Problem Set 5.4
Warm Up
5.4.6.1.
Skills Practice
Applications
5.4.6.9.
5.4.6.11.
5.4.6.13.
5.4.6.15.
5.4.6.20.
5.5 Inverse Variation
5.5.4 Problem Set 5.5
Warm Up
Skills Practice
5.5.4.5.
Applications
5.5.4.13.
5.5.4.15.
5.5.4.17.
5.5.4.22.
5.6 Functions as Models
5.6.6 Problem Set 5.6
Warm Up
5.6.6.7.
Skills Practice
Applications
5.6.6.27.
5.6.6.29.
Absolute Value
5.6.6.9.
5.6.6.11.
5.7 Chapter 5 Summary and Review
5.7.3 Chapter 5 Review Problems
5.7.3.5.
5.7.3.6.
5.7.3.11.
5.7.3.12.
5.7.3.31.
5.7.3.32.
5.7.3.33.
5.7.3.34.
5.7.3.35.
6 Powers and Roots
6.1 Integer Exponents
6.1.5 Problem Set 6.1
Warm Up
Skills Practice
6.1.5.29.
Applications
6.1.5.31.
6.1.5.33.
6.1.5.35.
6.1.5.36.
6.2 Roots and Radicals
6.2.9 Problem Set 6.2
Warm Up
6.2.9.1.
6.2.9.3.
Skills Practice
6.2.9.5.
6.2.9.27.
6.2.9.29.
Applications
6.2.9.31.
6.2.9.33.
6.2.9.35.
6.2.9.36.
6.2.9.37.
6.2.9.39.
6.3 Rational Exponents
6.3.7 Problem Set 6.3
Warm Up
6.3.7.1.
6.3.7.3.
Skills Practice
6.3.7.21.
6.3.7.31.
Answer.
Applications
6.3.7.35.
6.3.7.37.
6.3.7.39.
6.3.7.41.
6.3.7.43.
6.4 Working with Radicals
6.4.6 Problem Set 6.4
Warm Up
6.4.6.5.
Skills Practice
6.4.6.21.
Applications
6.4.6.29.
6.5 Radical Equations
6.5.6 Problem Set 6.5
Warm Up
6.5.6.1.
6.5.6.3.
6.5.6.5.
Skills Practice
Applications
6.5.6.19.
6.5.6.21.
6.6 Chapter 6 Summary and Review
6.6.3 Chapter 6 Review Problems
6.6.3.7.
6.6.3.8.
6.6.3.9.
6.6.3.10.
6.6.3.19.
6.6.3.20.
6.6.3.21.
6.6.3.22.
6.6.3.23.
6.6.3.25.
6.6.3.27.
7 Exponential Functions
7.1 Exponential Growth and Decay
7.1.7 Problem Set 7.1
Warm Up
7.1.7.1.
7.1.7.3.
Skills Practice
7.1.7.11.
7.1.7.13.
7.1.7.15.
Applications
7.1.7.23.
7.1.7.24.
7.1.7.25.
7.1.7.27.
7.1.7.29.
7.1.7.31.
7.1.7.33.
7.1.7.35.
7.1.7.37.
7.2 Exponential Functions
7.2.6 Problem Set 7.2
Warm Up
Skills Practice
7.2.6.17.
7.2.6.18.
7.2.6.19.
Answer.
7.2.6.21.
7.2.6.25.
Applications
7.2.6.28.
7.2.6.29.
7.2.6.30.
7.2.6.31.
7.3 Logarithms
7.3.7 Problem Set 7.3
Warm Up
7.3.7.1.
Skills Practice
7.3.7.21.
Applications
7.3.7.25.
7.3.7.29.
7.4 Properties of Logarithms
7.4.5 Problem Set 7.4
Warm Up
7.4.5.1.
Skills Practice
Applications
7.4.5.37.
7.4.5.39.
7.4.5.41.
7.5 Exponential Models
7.5.5 Problem Set 7.5
Warm Up
Skills Practice
Applications
7.5.5.19.
7.5.5.21.
7.5.5.23.
7.6 Chapter 7 Summary and Review
7.6.3 Chapter 7 Review Problems
7.6.3.47.
7.6.3.49.
7.6.3.51.
8 Polynomial and Rational Functions
8.1 Polynomial Functions
8.1.10 Problem Set 8.1
Warm Up
8.1.10.1.
8.1.10.3.
Skills Practice
8.1.10.5.
8.1.10.7.
8.1.10.9.
Applications
8.1.10.23.
8.1.10.25.
8.1.10.27.
8.1.10.29.
8.1.10.31.
8.2 Algebraic Fractions
8.2.5 Problem Set 8.2
Warm Up
Skills Practice
8.2.5.9.
Applications
8.2.5.29.
8.2.5.31.
8.2.5.33.
8.2.5.35.
8.3 Operations on Algebraic Fractions
8.3.9 Problem Set 8.3
Warm Up
Skills Practice
8.3.9.7.
Applications
8.4 More Operations on Fractions
8.4.5 Problem Set 8.4
Warm Up
Skills Practice
Applications
8.4.5.25.
8.4.5.27.
8.5 Equations with Fractions
8.5.8 Problem Set 8.5
Warm Up
Skills Practice
8.5.8.17.
Applications
8.5.8.25.
8.5.8.27.
8.5.8.29.
8.5.8.31.
8.5.8.33.
8.5.8.35.
8.5.8.37.
8.5.8.39.
8.6 Chapter 8 Summary and Review
8.6.3 Chapter 8 Review Problems
8.6.3.5.
8.6.3.7.
8.6.3.9.
8.6.3.11.
9 Equations and Graphs
9.1 Properties of Lines
9.1.4 Problem Set 9.1
Warm Up
9.1.4.1.
9.1.4.3.
Answer.
Number | Negative reciprocal |
Their product |
Skills Practice
9.1.4.11.
9.1.4.13.
Applications
9.1.4.15.
9.1.4.17.
9.1.4.19.
9.1.4.21.
9.2 The Distance and Midpoint Formulas
9.2.7 Problem Set 9.2
Warm Up
9.2.7.1.
9.2.7.3.
Answer.
Skills Practice
Applications
9.2.7.15.
9.2.7.17.
9.2.7.19.
9.2.7.21.
9.3 Conic Sections: Ellipses
9.3.5 Problem Set 9.3
Warm Up
9.3.5.1.
9.3.5.3.
9.3.5.5.
Skills Practice
Applications
9.3.5.29.
9.3.5.31.
9.4 Conic Sections: Hyperbolas
9.4.6 Problem Set 9.4
Skills Practice
9.4.6.11.
Applications
9.5 Nonlinear Systems
9.5.4 Problem Set 9.5
Warm Up
9.5.4.1.
9.5.4.3.
Skills Practice
Applications
9.6 Chapter 9 Summary and Review
9.6.3 Chapter 9 Review Problems
9.6.3.3.
9.6.3.4.
9.6.3.5.
9.6.3.6.
9.6.3.7.
9.6.3.8.
9.6.3.19.
9.6.3.20.
9.6.3.21.
9.6.3.22.
9.6.3.23.
9.6.3.24.
9.6.3.25.
9.6.3.26.
9.6.3.27.
9.6.3.28.
9.6.3.29.
9.6.3.30.
9.6.3.31.
9.6.3.32.
10 Logarithmic Functions
10.1 Logarithmic Functions
10.1.7 Problem Set 10.1
Warm Up
Skills Practice
10.1.7.9.
Answer.
10.1.7.19.
10.1.7.21.
10.1.7.23.
Applications
10.1.7.29.
Answer.
-
-
The graph resembles a logarithmic function. The function is close to the points but appears too steep at first and not steep enough after
Overall, it is a good fit. -
grows (more and more slowly) without bound. will eventually exceed per cent, but no one can forget more than 100% of what is learned.