INSTRUCTOR’S TESTING MANUAL DAWN DABNEY USING & UNDERSTANDING MATHEMATICS: A QUANTITATIVE REASONING APPROACH SEVENTH EDITION by Jeffrey Bennett William Briggs

INSTRUCTOR’S
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DAWN DABNEY
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USING & l




UNDERSTANDING
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MATHEMATICS:
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AQUANTITATIVE
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REASONINGAPPROACH l




SEVENTH EDITION l




Jeffrey Bennett l




WilliamBriggs
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, Table of Contents l l




1 Thinking Critically
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1A Living in the Media Age......................................................................... 1
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1B Propositions and Truth Values ............................................................... 9 l l l



1C Sets and Venn Diagrams ...................................................................... 17
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1D Analyzing Arguments ......................................................................... 29
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1E Critical Thinking in Everyday Life ...................................................... 37
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2 Approaches to Problem Solving l l l




2A Understand, Solve, and Explain ........................................................... 46 l l l



2B Extending Unit Analysis...................................................................... 52
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2C Problem-Solving Hints........................................................................ 58 l




3 Numbers in the Real World
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3A Uses and Abuses of Percentages .......................................................... 66
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3B Putting Numbers in Perspective ........................................................... 74
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3C Dealing with Uncertainty .................................................................... 80
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3D Index Numbers: The CPI and Beyond .................................................. 88
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3E How Numbers Can Deceive: Polygraphs,
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Mammograms, and More .................................................................... 96 l l




4 Managing Money l




4A Taking Control of Your Finances ....................................................... 108
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4B The Power of Compounding .............................................................. 114
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4C Savings Plans and Investments .......................................................... 120
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4D Loan Payments, Credit Cards, and Mortgages.................................... 126
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4E Income Taxes .................................................................................... 132
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4F Understanding the Federal Budget..................................................... 140 l l l




5 Statistical Reasoning
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5A Fundamentals of Statistics ................................................................. 146 l l



5B Should You Believe a Statistical Study? ............................................ 154
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5C Statistical Tables and Graphs ............................................................. 162
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5D Graphics in the Media ........................................................................ 172
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5E Correlation and Causality .................................................................. 176
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6 Putting Statistics to Work
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6A Characterizing Data........................................................................... 186 l



6B Measures of Variation ....................................................................... 194
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6C The Normal Distribution ................................................................... 202
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6D Statistical Inference ........................................................................... 210
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,7 Probability: Living with the Odds
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7A Fundamentals of Probability.............................................................. 218 l l



7B Combining Probabilities.................................................................... 226
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7C The Law of Large Numbers ............................................................... 234
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7D Assessing Risk .................................................................................. 242
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7E Counting and Probability ................................................................... 250
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8 Exponential Astonishment l




8A Growth: Linear versus Exponential ................................................... 256
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8B Doubling Time and Half-Life ............................................................ 264
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8C Real Population Growth .................................................................... 270
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8D Logarithmic Scales: Earthquakes, Sounds, and Acids ........................ 278 l l l l l




9 Modeling Our World
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9A Functions: The Building Blocks of Mathematical Models .................. 284 l l l l l l



9B Linear Modeling ................................................................................ 290
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9C Exponential Modeling ....................................................................... 299
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10 Modeling with Geometry
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10A Fundamentals of Geometry ............................................................... 309 l l



10B Problem Solving with Geometry ........................................................ 319
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10C Fractal Geometry............................................................................... 326
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11 Mathematics and the Arts l l l




11A Mathematics and Music ..................................................................... 330 l l



11B Perspective and Symmetry ................................................................ 334
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11C Proportion and the Golden Rule ......................................................... 340
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12 Mathematics and Politics l l




12A Voting: Does the Majority Always Rule? ........................................... 346
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12B Theory of Voting ............................................................................... 354
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12C Apportionment: The House of Representatives and Beyond .............. 364 l l l l l l



12D Dividing the Political Pie ................................................................... 375
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Answers to Unit Exams .................................................................................. 382
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1. List the two components of a logical argument.
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2. Summarize the fallacy of personal attack.
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3. Summarize the fallacy of false cause.
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4. Give an example of an argument that involves a straw man.
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5. List the premise and the conclusion of the following argument:
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The dogs are barking. Someone must be outside.
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6. List the premise and the conclusion of the following argument:
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People love puppies, so don’t count on there being any puppies at the animal shelter.
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