Coburn J.W., Herdlick J.D. College Algebra: Graphs and Models
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xxviii Contents
2.6 Variation: The Toolbox Functions in Action 259
Making Connections 270
Summary and Concept Review 271
Practice Test 275
Calculator Exploration and Discovery: Studying Joint Variations 277
Strengthening Core Skills: Variation and Power Functions: y ⴝ kx
p
278
Cumulative Review: Chapters R–2 279
CHAPTER 3 Quadratic Functions and Operations on Functions 281
3.1 Complex Numbers 282
3.2 Solving Quadratic Equations and Inequalities 292
3.3 Quadratic Functions and Applications 313
Mid-Chapter Check 327
Reinforcing Basic Concepts: An Alternative Method for Checking Solutions to
Quadratic Equations 327
3.4 Quadratic Models; More on Rates of Change 328
3.5 The Algebra of Functions 340
3.6 The Composition of Functions and the Difference Quotient 352
Making Connections 370
Summary and Concept Review 370
Practice Test 375
Calculator Exploration and Discovery: Residuals, Correlation Coefficients,
and Goodness of Fit 376
Strengthening Core Skills: Base Functions and Quadratic Graphs 378
Cumulative Review: Chapters R–3 379
CHAPTER 4 Polynomial and Rational Functions 381
4.1 Synthetic Division; the Remainder and Factor Theorems 382
4.2 The Zeroes of Polynomial Functions 394
4.3 Graphing Polynomial Functions 411
Mid-Chapter Check 428
Reinforcing Basic Concepts: Approximating Real Zeroes 429
4.4 Graphing Rational Functions 430
4.5 Additional Insights into Rational Functions 445
4.6 Polynomial and Rational Inequalities 459
Making Connections 470
Summary and Concept Review 470
Practice Test 474
Calculator Exploration and Discovery: Complex Zeroes, Repeated Zeroes,
and Inequalities 475
Strengthening Core Skills: Solving Inequalities Using the Push Principle 476
Cumulative Review: Chapters R–4 477
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Contents xxix
CHAPTER 5 Exponential and Logarithmic Functions 479
5.1 One-to-One and Inverse Functions 480
5.2 Exponential Functions 492
5.3 Logarithms and Logarithmic Functions 503
5.4 Properties of Logarithms 516
Mid-Chapter Check 526
Reinforcing Basic Concepts: Understanding Properties of Logarithms 527
5.5 Solving Exponential and Logarithmic Equations 527
5.6 Applications from Business, Finance, and Science 539
5.7 Exponential, Logarithmic, and Logistic Equation Models 552
Making Connections 565
Summary and Concept Review 566
Practice Test 571
Calculator Exploration and Discovery: Investigating Logistic Equations 572
Strengthening Core Skills: The HerdBurn Scale — What’s Hot
and What’s Not 573
Cumulative Review: Chapters R–5 574
CHAPTER 6 Systems of Equations and Inequalities 575
6.1 Linear Systems in Two Variables with Applications 576
6.2 Linear Systems in Three Variables with Applications 591
Mid-Chapter Check 603
Reinforcing Basic Concepts: Window Size and Graphing Technology 603
6.3 Nonlinear Systems of Equations and Inequalities 604
6.4 Systems of Inequalities and Linear Programming 615
Making Connections 629
Summary and Concept Review 630
Practice Test 632
Calculator Exploration and Discovery: Optimal Solutions and Linear
Programming 633
Strengthening Core Skills: Understanding Why Elimination
and Substitution “Work” 634
Cumulative Review: Chapters R–6 635
CHAPTER 7 Matrices and Matrix Applications 637
7.1 Solving Linear Systems Using Matrices and Row Operations 638
7.2 The Algebra of Matrices 650
Mid-Chapter Check 662
Reinforcing Basic Concepts: More on Matrix Multiplication 663
7.3 Solving Linear Systems Using Matrix Equations 663
7.4 Applications of Matrices and Determinants: Cramer’s Rule,
Partial Fractions, and More
679
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7.5 Matrix Applications and Technology Use 692
Making Connections 699
Summary and Concept Review 700
Practice Test 702
Calculator Exploration and Discovery: Cramer’s Rule 704
Strengthening Core Skills: Augmented Matrices and Matrix Inverses 704
Cumulative Review: Chapters R–7 705
CHAPTER 8 Analytic Geometry and the Conic Sections 707
8.1 A Brief Introduction to Analytical Geometry 708
8.2 The Circle and the Ellipse 715
Mid-Chapter Check 729
Reinforcing Basic Concepts: More on Completing the Square 730
8.3 The Hyperbola 731
8.4 The Analytic Parabola; More on Nonlinear Systems 744
Making Connections 754
Summary and Concept Review 755
Practice Test 757
Calculator Exploration and Discovery: Elongation and Eccentricity 758
Strengthening Core Skills: Ellipses and Hyperbolas with Rational/Irrational
Values of a and b 759
Cumulative Review: Chapters R–8 760
CHAPTER 9 Additional Topics in Algebra 761
9.1 Sequences and Series 762
9.2 Arithmetic Sequences 773
9.3 Geometric Sequences 782
9.4 Mathematical Induction 796
Mid-Chapter Check 803
Reinforcing Basic Concepts: Applications of Summation 803
9.5 Counting Techniques 804
9.6 Introduction to Probability 816
9.7 The Binomial Theorem 829
Making Connections 837
Summary and Concept Review 838
Practice Test 842
Calculator Exploration and Discovery: Infinite Series, Finite Results 844
Strengthening Core Skills: Probability, Quick-Counting, and Card Games 845
Cumulative Review: Chapters R–9 846
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Contents xxxi
Appendix I The Language, Notation, and Numbers of Mathematics A-1
Appendix II Geometry Review with Unit Conversions A-14
Appendix III More on Synthetic Division A-28
Appendix IV More on Matrices A-30
Appendix V Deriving the Equation of a Conic A-32
Appendix VI Proof Positive — A Selection of Proofs from College Algebra A-34
Student Answer Appendix (SE only) SA-1
Instructor Answer Appendix (AIE only) IA-1
Index I-1
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Index of Applications
ANATOMY AND PHYSIOLOGY
height versus human armspan, 176
height versus male shoe size, 177, 246
length of radial bone, R–38
ARCHITECTURE
fountains at foci of elliptical garden, 727
Hall of Mirrors dimensions, 37
heights of selected tall buildings, 590,
630
whispering galleries, 729
window design, 325
ART, FINE ARTS, THEATER
actors’ ages, 37
adult and children’s ticket sales, 588
exhibit design for sculpture, 727
heights of selected cartoon characters,
676
prices of paintings at auction, 601
seating arrangements, 812, 815
seating capacity of theater-in-the-
round, 781
television station programming
possibilities, 815
BIOLOGY AND ZOOLOGY
animal diets, 678
average animal birth weights, 771
bird wingspan and weight, 246
box turtle life span probability, 844
cat show winner choices, 841
cell division, 570
chimpanzee randomly choosing
blocks, 828
concentration of chemical in
bloodstream of animal, 475
cricket chirps and temperature, 118
custom feed and cottonseed blend, 163
deep-sea fishing depths, 229
deer and predators, 245
deer population growth, 782
dietary research for pets, 691
elk population growth, 64
fish and shark predators, 245
gestation periods and weights of selected
mammals, 246, 601
hawk repopulation, 838
insect population, 426
prairie dog population, 570
predator/prey concentrations,
351, 368, 564
rabbit populations, 551
species and island area relationship,
246, 525
squirrel populations, 706
stocking a lake, 537, 772
volume of an egg, 270
weight of dog over time, 571
whale weight, 246
wingspans of selected birds, 601
wolf preservation, 772
BUSINESS AND ECONOMICS
advertising and sales, 258
applicant combinations for manager
positions, 813
appreciation, 537, 843
automated filling of cereal boxes, 230
auto shop repair costs, 10
balance of payments, 426, 475
bicycle sales since 1920, 559
blue-book value of cars, 772
books shipped per box, 52
break even revenue, 589, 613
car rental charges, 132
cost, revenue, profit, 311–312, 350, 374
cost of copper tubing, 270
cost of each business purchased, 706
cost of single can of each vegetable, 632
defective bulb production probability, 844
demand and cost, 269
depreciation, 117, 148, 163, 501, 537,
571, 794, 843
eBay selling and feedback ratings, 270
envelope sizes, 53
equilibrium point, 590, 630
exponential revenue growth, 501
federal surplus of U.S., 202
generator failure probabilities, 824
government expenditures on guns versus
butter, 627
hybrid car sales, 178
income depending on number of items
sold, 134
inflation, 502, 772
Internet consumer spending, 373
manufacturing costs, 444, 456
market equilibrium price, 630, 633
marketing budgets, 515
marketing choices of table settings, 843
maximizing revenue, 24, 84, 326,
627–628, 744
maximum profit, 323–324, 632, 633, 636
minimizing shipping costs, 628
minimum wage, 10
moving van rental costs, 38
newspaper publishing decline, 258
number of items assembled by employee,
538, 559
number of workers needed to do job, 270
numbers of each item manufactured over
time, 676–677, 692
oil imports, 258
overtime wages, 259
packaging costs, 444, 456
paper sizes, 53
patent applications, 176
patents issued, 177
postage costs, 10, 260
power tool rental costs, 38
production cost, 324, 350
production level which will minimize
cost of item, 475
production matrix, 660–661
profit and loss, 201
profits, 379, 394, 478
raw material needed to fill orders,
697–698
replacement of aging equipment, 794
salary overtaken by cost of living, 795
sales goals, 781
sales growth, 537
seasonal revenue, 375
service call cost, 132–133
shipping carton length, 162
sizes of Slushies sold, 676
start-up costs, 563
supply and demand, 270, 442,
589–590, 614
thefts of precious metal, 698
tool rental returns on time
probabilities, 847
tracking customer service wait time
“on hold,” 826
TV repair costs, 10
union workers surveyed, 844
used vehicle sales, 347
wage increases, 771
wages and hours worked, 267
ways for volunteers to replace paid
staff, 813
CHEMISTRY
carbon-14 dating, 551
chemical mixtures, 163–164, 601, 760
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chlorine levels in swimming pools,
794–795
concentrations of selected
chemicals, 443
exponential decay, 501
pH level of solution, 513
photochromatic sunglasses, 502
radioactive decay, 502, 551, 569, 574
COMMUNICATION
cell phone charges, 260
cell phone subscribers, 312
customer wait time for cable company
service, 843
DVD late rental returns, 836
phone service charges, 259
projected sales of iPhones, 186
radio phone range, 184
radio station broadcast range, 103–104
radio tower cable length, 79
COMPUTERS
computer animations, 781
consultant salaries, 229
home computers probabilities, 827
households with Internet
connections, 148
number of hours to assemble circuit
boards, 115
random generation of numbers, 826
rebound height of ball on screen
saver, 795
CONSTRUCTION
amounts of wood used to build sail
boats, 702
backyard fencing, 325
barrels stacked at storage facility, 847
building height and number of
stairs, 267
deflection of a beam, 468
drywall area needed, 39
filling job crew positions, 841
forces on trusses of a roof, 691
height of spines of fireplace door, 727
home ventilation, 515
hours spent rehabbing houses, 703
load-bearing beams and weights carried,
269, 271, 279
load supported by cylindrical post, 538
new home cost, 115
pitch of a roof, 10, 116
plumbing vent pipe in roof, 728
pool dimensions, 614
quality control tests for marble
columns, 229
raw material needed to fill orders,
697–698
sewer line slope, 116
sheep pen dimensions, 325
truck rental cost, 277
walkway paving area, 39
CRIMINAL JUSTICE,
LEGAL STUDIES
estimating time of death, 536
law firm mixture of staff, 825
nonwhite, nonmale Supreme Court
justices, 116
DEMOGRAPHICS
chicken production in U.S., 561
decrease in smokers in U.S., 118
family farms with milk cows, 560
females/males in workforce, 177
fertility rates in U.S., 338
growth of cell phone use, 563
households owning stocks, 258
households with cable television, 559
logistic growth of populations, 536
military expenditures in U.S., 259
multiple births in U.S., 259
national debt of U.S., 282
number of U.S. post offices, 560
numbers of children homeschooled, 375
percentage of female physicians, 118
population density, 441
population growth, 794–795
population of coastal areas, 561
prison population, 148
reporting of ages by using floor
function, 260
research and development
expenditures, 562
telephone calls per capita, 560
telephone opinion polls, 836
tourist population at resort, 393
triplets born in U.S., 574
use of debit cards, 561
veterans in civil life, 561
EDUCATION AND TEACHING
alumni contributions, 588
applicant combinations for school board
positions, 813
average grade computing, 444
college tuition and fees per semester, 118
cost of used and new textbooks, 662
course schedule probabilities, 812
credit hours taught at community
college, 840
detentions given out in high school, 703
exam scores, 38
grade point average computing, 444
IQ of selected persons, 649
joining a club, 661
language retention, 443
memory retention, 64, 515
numbers of children homeschooled, 375
passing quiz probabilities, 828
quiz score and minutes spent studying,
184, 561
report card probabilities, 812
scholarship award possibilities, 815
student loan amounts owed, 703, 793
test averages and grade point averages,
444
typing speed, 64
ways for children to line up for
lunch, 814
ways to choose committee to attend
seminar, 814
ENGINEERING
Civil
cylindrical vent manufacture, 613
measuring depth of well, 351
traffic lanes on highway, 426
traffic volume at intersections,
229, 426
Electrical
impedance calculations, 291
resistance and wire diameter, 245,
270, 629
temperature and electrical resistance,
468–469
voltage calculations, 291
wind turbine energy output, 278
Mechanical
commercial flashlights, 753
distance between sides of nuclear
cooling towers, 743
horsepower of vehicles, 574
industrial spotlights, 753
parabolic flashlights, 753
solar furnace, 753
wind powered energy, 79, 80, 218–219,
270, 427, 491
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ENVIRONMENTAL STUDIES
barrels of toxic waste in storage
facility, 803
city-wide recycling, 245
draining of reservoir, 840
energy rationing, 258
forest fire spreading, 367
gold mining depletion rate, 560
hazardous waste disposal, 628
land/crop allocation, 627
number of garbage trucks and volume of
garbage, 115
ounces of platinum mined over time, 571
pollution removal, 64, 245, 442, 475
pollution testing, 836
rainfall and cattle per acre, 186
recycling costs, 442
soil acidity, 525
solid and liquid toxic waste containers,
744
stocking a lake, 537
tomato production related to watering
amount, 337–338
venting landfill gases, 795
water level in lake, 117
water rationing, 259
FINANCE
amount invested at each rate, 591, 601,
632, 649, 677
amounts bequeathed to family members,
627, 781
annuities, 549–550
bills denominations drawn from box, 847
bonds, 588
coin denominations, 588, 631, 677
coins in circulation, 678
compound interest, 366, 548–549, 570,
714, 837
continuously compounded interest, 549
corporate expenditures, 348
credit card usage, 178
currency conversion, 367
debt load, 393
debt-per-capita ratio of U.S., 22
gold coin denominations, 601–602
government deficits, 409
income taxes, 591
inheritance taxes, 551
interest rates, 201
interest rates needed to double
investment, 847
investing in coins, 148
investment growth, 549, 636, 760
loan amounts for city renovations, 703
mortgage payments, 550
original purchase price, 615
prices of paintings at auction, 601
return on investments, 691
simple interest, 269, 548, 570, 571, 650
stock prices, 64
stock value, 229
time required for investment to
double, 513
time required for investment to
triple, 515
title loan interest rate, 548
GEOGRAPHY AND GEOLOGY
altitude and atmospheric pressure, 515
altitude and temperature, 537
distance to horizon seen by person, 368
earthquake intensity, 514, 526
earthquake range, 103
gravity and weight, 269
land areas of Tahiti and Tonga, 590, 632
length of Suez Canal, 38
length of Tigris and Euphrates
Rivers, 162
predicting tides, 133
river velocities, 246
submarine net depths, 229
temperature and atmospheric pressure,
514–515
HISTORY
years Civil War ended and Declaration
of Independence signed, 590
years selected U.S. documents
signed, 601
years selected wars ended, 601
INTERNATIONAL STUDIES
international shoe sizes, 367
license plate probabilities, 812, 814, 843
tourist population at resort, 393
U.S. international trade balance, 312
MATHEMATICS
absolute value graphs, 260
angle measurements, 649
arc length of right parabolic segment,
752
area of circle, 22, 491
area of ellipse, 727
area of equilateral triangle, 268
area of inscribed circle, 103
area of oval, 728
area of printed page, 457
area of rectangle, 38, 184, 410, 627
area of right parabolic segment, 752
area of trapezoid, 614
area of triangle, 38, 455, 627, 703
area of triangle inscribed in circle, 103
area of vertical parabola, 614
average rate of change, 338–339,
373, 376
circumference of circle, 176
consecutive integers, 163
constructing and analyzing graphs,
201–203
correlation coefficients, 564
diagonal length of rectangular prism, 84
dimensions of a lawn, 10
dimensions of box, 409, 614
dimensions of closed rectangle, 614
dimensions of cylindrical tank, 614
dimensions of fish tank, 614
dimensions of flag, 614
dimensions of rectangle, 614, 632
dimensions of right triangle, 614
dimensions of triangle, 649
focal chord of hyperbola, 743
functions and rational exponents, 201
graph coordinates probabilities, 827
imaginary numbers, 291
lateral surface area of cone, 80
lateral surface area of frustrum, 80
length of sides of triangle, 633, 757
matric equations, 677
maximum and minimum values, 408
negative exponents, 24
number combination possibilities, 812
numbers made by rearranging digits, 813
Pareto’s principle, 525
perimeter of ellipse, 727
Pick’s theorem for area of polygon, 132
radius of a ripple, 367, 374
radius of circle, 491
radius of sphere, 490
sum of consecutive cubes, 469
sum of consecutive squares, 469
sum of interior angles of decagon, 782
sum of natural numbers, 781
surface area of box, 456
surface area of cube, 268
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surface area of cylinder, 311, 349, 455,
457
surface area of open cylinder, 458
surface area of rectangle with square
ends, 323
surface area of sphere, 268
surface area of spherical cap, 458
thickness of folded sheet of paper, 795
variation equations, 269, 279
volume of box, 52
volume of cone, 490
volume of conical shell, 52
volume of cube, 22, 132, 408
volume of cylinder, 132, 176
volume of draining bathtub, 373
volume of grain silo, 39
volume of open box, 392
volume of rectangular solid, 39
volume of sphere, 218, 339
volume of spherical shell, 52
volume of triangular pyramid, 691
volume of water in pool, 393
words made by rearranging letters of
given word, 813
MEDICINE, NURSING,
NUTRITION, DIETETICS, HEALTH
ages of selected famous persons, 603
bacterial growth, 501, 551, 795
blood plasma pH levels, 525
board of directors of hospital
selection, 828
calories allotted for lunch, 37
calories in geriatric diet, 602
children and AIDS, 564
coffee bean mixture, 163, 627
cost per pound of selected fruits, 691
days wait time for patients to receive
appointment, 842
drug absorption, 537
fetus weight, 338
gastric juice acidity, 525
grams of fat in soup, 602
ground beef mixture, 163
growth rates of children, 564
height of froth on carbonated
drinks, 560
ideal weight for males, 132
location of kidney stones for lithotripsy
procedure, 727
low birth weight and mother’s age, 563
measures of grain in each bundle, 698
medication concentration in
bloodstream, 442, 475
milkfat requirements, 588
milk pH levels, 525
mixtures of selected foods, 163–164, 184
pounds added for each inch of height, 116
prescription drug sales, 148
random selection of dietetics class
group, 825
spread of disease, 559
ways to make fruit trays with eight
fruits, 814
ways to make hamburger, 814
ways to select recipes for competition,
814
weight loss over time, 559
workout diet, 678
METEOROLOGY
altitude at which balloon ruptures, 691
atmospheric pressure at top of
mountain, 569
dive depth and water pressure, 281, 562
earthquake intensity, 514, 526
earthquake range, 103
Fahrenheit/Celsius conversion, 38, 132,
588
locating ship/plane using radar, 743
ocean water temperature, 247, 563–564
speed of Caribbean Current, 588
speed of river current, 587, 588
temperature and altitude, 490
temperature drop, 339, 781
thermal conductivity, 677
wind-powered energy, 79, 80, 218–219,
270
wind speed, 589
MUSIC
frequencies of musical notes, 562
playing times for selected songs/
movements, 603, 676
product matrix, 660–661
PHYSICS, ASTRONOMY,
PLANETARY STUDIES
acceleration due to gravity, 219
altitude of jet stream, 229
area illuminated by circle and by
ellipse, 728
boiling temperature of water, 116
brightness of star, 514
catapults and projectiles, 201
comparisons of weights, sound, pressure,
etc., 571
cooling and warming of liquids, 502
Coulomb’s law, 24
densities of objects, 409
distance between charged particles
approaching each other, 743
distance dropped object falls, 490
distance from Earth to Mars, 163
distance from Sun to Mars, 279
distance object rolls due to gravity, 219
distance traveled by bouncing balls, 795
distance traveled on arc of swing, 781,
794
drag resistance on boat, 409
expansion of supernova, 367
force between charged particles, 270
freezing time of water, 537
gravitation between two celestial
bodies, 271
height of object thrown downward,
337, 372
height of projectile thrown/shot upward,
311, 338
impedance calculations, 291
intensity of light, 24, 245, 271
intensity of sound, 271, 514, 516
kinetic energy and mass, 269
Lorentz transformation of space-time
relationships, 52
orbital velocities of Earth and Jupiter,
728
parabolic sound and radio wave
receivers, 753
period of pendulum, 270, 794, 843
planetary orbit times around sun, 79, 80,
246, 563, 728, 757
Poiseuille’s law of tubular liquid flow,
52
projected images and height/distance,
268, 368, 490
radar detection of ships, 103
removing air to create a vacuum, 794
spaceship velocity, 537
space travel costs, 348
speakers chosen randomly at
conference, 823
speed of sound depending on
temperature, 148
spread of liquid on surface, 278, 571
spring oscillation, 229
strength of a vacuum, 794
temperatures of water mixture, 185
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time for dropped object or projectile to
hit ground, 218, 268, 311, 324
time for satellite to orbit Earth
time for satellite to reach Jupiter, 22
velocity and times of rocket flight,
426–427
velocity of car depending on drag
force, 373
velocity of falling objects, 185, 246,
339, 349
velocity of fluid flowing from tank, 218
weight of object on moon, 270
POLITICS
committee composition possibilities, 815
Conservatives and Liberals in senate,
351
ways to choose reconnaissance team,
813
SOCIAL SCIENCE, HUMAN
SERVICES
applicant combinations for officer
positions, 813
area codes possible, 815
arrangement of books on shelf, 843
ciphers to encrypt culinary secrets, 702
ciphers to encrypt switchboard phone
numbers, 699
clothing choices and dressing
possibilities, 812, 841
cost of cable service, 562
cost of food for retreat, 661
customer count at restaurant, 427
demand for popular songs and singers,
368–369
different meal possibilities, 812
disarming bomb probabilities, 828
European and U.S. shoe sizes, 38
government investment in public works
and military, 348
guided tour start-up times and group
sizes, 337
household cleaner solutions, 588
increase in restaurant eating, 148
length and width of a book, 281
library fines, 566
lock combination probabilities, 812, 841
long-distance calling-card cost, 706
natural gas pricing for households, 259
new books published in U.S., 376
number of customers in mall, 471
page count and thickness of books, 267
photograph possibilities of multiple-birth
families, 813
prices paid for rare books, 649
remote access door opener digit
possibilities, 812
retirees surveyed, 828
selecting books to read on vacation, 814
selecting veterans to survey, 825–826
skid marks and speed of car before
crash, 79
standardizing e-mail addresses, 815
ticket prices, 337, 372
trash pickup on roads, 276
volume of phone calls, 270
SPORTS AND LEISURE
admission prices, 259
amusement arcade scores, 259
amusement park attendance, 393
area of Olympic soccer field, 37
area of race track, 728
arrangements possible in Yahtzee, 814
average weight of football linemen, 38
baseball batting averages, 836
baseball card value, 117, 677
basketball salaries, 562
basketball scores, 649
blanket toss competition, 324–325
bowling strikes probabilities, 842
campers at park in selected months, 847
card game scores, 590, 631
chess tournament probabilities, 813
choosing blocks with numbers, 828
choosing finalists on game show, 824
coin toss probabilities, 229, 812, 814,
823, 826, 829
depth and duration of dive, 375, 474
diameters of sport balls, 229
dice rolling, 824–826, 841
distance jogged at faster pace, 163
distances descended by two cave
explorers, 162
dominos numbers, 824
drawing cards at random, 823, 825, 841
drawing colored balls from bag, 813,
827, 843
drawing slips of paper at random, 841
elliptical billiard tables, 729
filling player positions for soccer, 824
frog-jumping contests, 327
height of kicked soccer ball, 602
high jump records, 177
horse-racing finish probabilities, 813, 841
hot-air ballooning, 246
kiteboarding and wind speed, 231
length of kite string let out, 79
marathon training runs, 37
maximum height of arrow shot from
bow, 602
medals awarded to sprinters, 814
men’s Olympic freestyle swimming, 203
minimum altitude of stunt plane, 743
motorcycle jumps, 325
numbers of each item in shipment to
sports store, 636
orienteering running speeds, 394
Pinochle probabilities, 824
pool table mixture of balls, 825, 826
racing pigeon speeds, 589
random changes in rule book, 823
rebound height of ball, 795, 829
registration for 5-km race, 337
runner first at finish line, 292
shelf size and size of tennis ball cans,
526
sit-ups for training of recruits, 229
snowboard jumping, 325
softball tossing distance, 10
speed of rower in still water, 587, 588
spinner probabilities, 501, 812, 823–824,
826, 843
spin outcomes in Twister, 814
sports promotions, 515
sprinter’s training times, 271
standing broad jump distances, 803
starting line-ups possibilities, 815
swimmers in pool at any time, 24
table tennis scores, 282
tandem bicycle trip finishing
probabilities, 843
target-hitting probabilities, 827, 844
tennis court dimensions, 312
ticket pricing, 323
Tic-Tac-Toe ending board possibilities,
816
time arrow is airborne, 602
timed trials in swimming, 38
ways to commit crime in Clue, 815
ways to form female basketball teams,
814
ways to select songs to play at contest,
814
words formed by Scrabble player, 813
words formed from one word, 841
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TRANSPORTATION
acceleration of car on highway, 148
aircraft N-Number possibilities, 815
airplane rate of climb, 116
airport moving walkways, 588
air travel distance, 649
bridge length, 163
celebrity airplane arrivals, 37
cruising speed of airliner, 10
cruising speed of ship, 588
distance apart of boats, 117, 292
distance of aircraft carrier from port
after departure hour, 115
distribution of car filling stations along
route, 350
drag resistance on boat, 409
driving time to work each day, 379, 477
elliptical arch bridge height, 727
fighter pilot training altitudes, 428
fighter plane wing measurements, 839
fines for speeding, 490
gas mileage, 117, 132
gas price per gallon, 588
minimizing transportation costs, 628
parabolic car headlights, 753
probability of responding to call by fire
station, 824
road intersections, 117
round-trip average speed, 468
runway takeoff distance, 515
selection of phobics for therapy, 828
spacing of water storage tanks along rail
route, 350–351
stopping distance of automobile, 270
stopping distance of boat after cutting
engine, 278
time for one vehicle to catch up with
another, 163
time spent driving at two different
speeds, 163
traffic volume at intersections, 229, 426
trolley cable lengths, 552
tunnel clearances at various points, 613
vehicle fuel economy, 570
velocity and fuel economy, 369
velocity of accelerating car, 185
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