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Mathematical Excursions (MindTap Course List)Writing Formulas When we know there is an explicit relationship between two quantities, often we can write a formula to express the relationship. For example, suppose that a toll of $ 3.75 is collected from each vehicle that crosses a particular bridge. Let A be the total amount of money collected, and let c be the number of vehicles that cross the bridge on a given day. Then, A = $ 3.75 c is a formula that expresses the total amount of money collected from vehicles on any given day. Write a formula for the situation. Include as part of your answer a list of variables that were used, and state what each variable represents. Write a formula to represent the total cost to rent a car from a company that rents cars for $ 29.95 per day plus 50 c for every mile driven over 100 m i . Assume the car will be driven more than 100 m i .BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 9.1, Problem 93ES

Textbook Problem

Writing Formulas When we know there is an explicit relationship between two quantities, often we can write a formula to express the relationship. For example, suppose that a toll of

Write a formula for the situation. Include as part of your answer a list of variables that were used, and state what each variable represents.

Write a formula to represent the total cost to rent a car from a company that rents cars for

Mathematical Excursions (MindTap Course List)

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Ch. 9.1 - Amy is 140 lb and 58 tall. Calculate Amys BMI....Ch. 9.1 - Roger is 511. How much should he weigh in order to...Ch. 9.1 - Bohdan weighs 185 lb and is 59. How many pounds...Ch. 9.1 - Felicia weighs 160 lb and is 57. She would like to...Ch. 9.1 - Finding BMI Using a Nomograph Most medical...Ch. 9.1 - What is the difference between an expression and...Ch. 9.1 - What is the solution of the equation x=8? Use your...Ch. 9.1 - Explain how to check the solution of an equation.Ch. 9.1 - Solve the equation. x+7=5Ch. 9.1 - Solve the equation. 9+b=21

Ch. 9.1 - Solve the equation. 9=z8Ch. 9.1 - Solve the equation. b11=11Ch. 9.1 - Solve the equation. 3x=150Ch. 9.1 - Solve the equation. 48=6zCh. 9.1 - Solve the equation. 9a=108Ch. 9.1 - Solve the equation. 34x=15Ch. 9.1 - Solve the equation. 52x=10Ch. 9.1 - Solve the equation. x4=2Ch. 9.1 - Solve the equation. 2x5=8Ch. 9.1 - Solve the equation. 42b=24bCh. 9.1 - Solve the equation. 4y10=6+2yCh. 9.1 - Solve the equation. 5x3=9x7Ch. 9.1 - Solve the equation. 10z+6=4+5zCh. 9.1 - Solve the equation. 3m+5=26mCh. 9.1 - Solve the equation. 6a1=2+2aCh. 9.1 - Solve the equation. 5x+7=8x+5Ch. 9.1 - Solve the equation. 26y=57yCh. 9.1 - Solve the equation. 4b+15=32bCh. 9.1 - Solve the equation. 2(x+1)+5x=23Ch. 9.1 - Solve the equation. 9n15=3(2n1)Ch. 9.1 - Solve the equation. 7a(3a4)=12Ch. 9.1 - Solve the equation. 5(32y)=34yCh. 9.1 - Solve the equation. 97x=4(13x)Ch. 9.1 - Solve the equation. 2(3b+5)1=10b+1Ch. 9.1 - Solve the equation. 2z2=5(96z)Ch. 9.1 - Solve the equation. 4a+3=7(58a)Ch. 9.1 - Solve the equation. 5(62x)=2(53x)Ch. 9.1 - Solve the equation. 4(3y+1)=2(y8)Ch. 9.1 - Solve the equation. 2(3b5)=4(6b2)Ch. 9.1 - Solve the equation. 3(x4)=1(2x7)Ch. 9.1 - Solve the equation. 2y34=y61Ch. 9.1 - Solve the equation. x8+2=3x43Ch. 9.1 - Solve the equation. 2x33+12=56Ch. 9.1 - Solve the equation. 23+3x+14=53Ch. 9.1 - Solve the equation. 12(x+4)=13(3x6)Ch. 9.1 - Solve the equation. 34(x8)=12(2x+4)Ch. 9.1 - Car Payments The monthly car payment on a 60-month...Ch. 9.1 - Car Payments The monthly car payment on a 60-month...Ch. 9.1 - Deep-Sea Diving The pressure on a diver can be...Ch. 9.1 - Deep-Sea Diving The pressure on a diver can be...Ch. 9.1 - Foot Races The world-record time for a 1-mile race...Ch. 9.1 - Foot Races The world-record time for a 1-mile race...Ch. 9.1 - Black Ice Black ice is an ice covering on roads...Ch. 9.1 - Black Ice Black ice is a nice covering on roads...Ch. 9.1 - Crickets The formula N=7C30 approximates N, the...Ch. 9.1 - Crickets The formula N=7C30 approximates N, the...Ch. 9.1 - Bowling In order to equalize all the bowlers...Ch. 9.1 - Bowling In order to equalize all the bowlers...Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the equation for y. 2xy=4Ch. 9.1 - Solve the equation for y. 4x+3y=6Ch. 9.1 - Solve the equation for x. ax+by+c=0Ch. 9.1 - Solve the equation for x. yy1=m(xx1)Ch. 9.1 - Solve the equation. 3(4x+2)=74(13x)Ch. 9.1 - Solve the equation. 4(x+5)=30(104x)Ch. 9.1 - Use the numbers 5,10,and15 to make equations by...Ch. 9.1 - Solve the equation ax+b=cx+d for x. Is your...Ch. 9.1 - Writing Formulas When we know there is an explicit...Ch. 9.1 - Writing Formulas When we know there is an explicit...Ch. 9.1 - Writing Formulas When we know there is an explicit...Ch. 9.1 - Writing Formulas When we know there is an explicit...Ch. 9.2 - In 1979, his rookie year, Jeff Reardon pitched 21...Ch. 9.2 - Roger Clemenss first year with the Boston Red Sox...Ch. 9.2 - In 1987, Nolan Ryan had the lowest ERA of any...Ch. 9.2 - During the 2015 season, Jake Arrieta of the...Ch. 9.2 - Find the necessary statistics for a pitcher on...Ch. 9.2 - Provide two examples of situations in which unit...Ch. 9.2 - Provide two examples of situations in which ratios...Ch. 9.2 - Write the expression as a unit rate. 582mi in 12hCh. 9.2 - Write the expression as a unit rate. 138mi on 6...Ch. 9.2 - Write the expression as a unit rate. 544 words...Ch. 9.2 - Write the expression as a unit rate. 100m in 8sCh. 9.2 - Write the expression as a unit rate. 9100 for 350...Ch. 9.2 - Write the expression as a unit rate. 1000 ft2 of...Ch. 9.2 - Wages A machinist earns 682.50 for working a...Ch. 9.2 - Space Vehicles The Space Shuttles solid rocket...Ch. 9.2 - Photography During filming, an IMAX camera uses...Ch. 9.2 - Consumerism Which is the more economical purchase,...Ch. 9.2 - Consumerism Which is the more economical purchase,...Ch. 9.2 - Wages You have a choice of receiving a wage of...Ch. 9.2 - Baseball Baseball statisticians calculate a...Ch. 9.2 - Population Density The table below shows the...Ch. 9.2 - E-mail The Radicati Group compiled the following...Ch. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Real Estate Dean Baker, co-director at the Center...Ch. 9.2 - Real Estate Dean Baker, co-director at the Center...Ch. 9.2 - Student-Faculty Ratios The table below shows the...Ch. 9.2 - Student-Faculty Ratios The table below shows the...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - The ratio of weight on the moon to weight on Earth...Ch. 9.2 - A management consulting firm recommends that the...Ch. 9.2 - Medication The dosage of a cold medication is 2 mg...Ch. 9.2 - Fuel Consumption If your car can travel 70.5 mi on...Ch. 9.2 - The scale on the architectural plans for a new...Ch. 9.2 - The scale on a map is 1.25 in. equals 10 mi. Find...Ch. 9.2 - Art Leonardo da Vinci measured various distances...Ch. 9.2 - Art In one of Leonardo da Vincis notebooks, he...Ch. 9.2 - A pre-election survey showed that two out of every...Ch. 9.2 - One study estimated that in the U.S., the average...Ch. 9.2 - Lotteries Three people put their money together to...Ch. 9.2 - Nutrition A pancake 4 in. in diameter contains 5 g...Ch. 9.2 - Assume each denominator is a non-zero real number....Ch. 9.2 - Assume each denominator is a non-zero real number....Ch. 9.2 - Crime Rates According to a recent study, the crime...Ch. 9.2 - The U.S. House of Representatives has a total of...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Does a taxpayer in the 33 tax bracket pay 33 of...Ch. 9.3 - In the table for single taxpayers, how were the...Ch. 9.3 - Name three situations in which percent is used.Ch. 9.3 - Multiplying a number by 300 is the same as...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - e-Filed Tax Returns The IRS reported that as of...Ch. 9.3 - A credit card company offers an annual 2 cash-back...Ch. 9.3 - Charitable Contributions During a recent year,...Ch. 9.3 - Television A survey by the Boston Globe questioned...Ch. 9.3 - A survey of 1236 adults nation wide asked, What...Ch. 9.3 - Wind Energy In a recent year, wind machines in the...Ch. 9.3 - During 1 year. Approximately 2,240,000 oz of gold...Ch. 9.3 - The two circle graphs how surveyed employees...Ch. 9.3 - A TurboTax online survey asked people how they...Ch. 9.3 - Diabetes Approximately 9.3 of the American...Ch. 9.3 - Education Of the 78 million baby boomers living in...Ch. 9.3 - The number of Internet users worldwide went from...Ch. 9.3 - The graph below shows the projected growth of the...Ch. 9.3 - Auto Sales U.S. auto sales increased from 16.5...Ch. 9.3 - Cable TV In 2006. 65.4 million people subscribed...Ch. 9.3 - Consumption of Eggs During the last 50 years, the...Ch. 9.3 - Millionaire Households The following table shows...Ch. 9.3 - The graph below shows the number of active-duty...Ch. 9.3 - Your employer agrees to give you a 5 raise after 1...Ch. 9.3 - Work Habits Approximately 73 of Americans who work...Ch. 9.3 - Nielsen Ratings Nielsen Media Research surveys...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - Write a quadratic equation that has integer...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Write a second-degree equation that you can solve...Ch. 9.4 - Write a second-degree equation that you can solve...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - In Exercises 27 to 42, round answers to nearest...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - First-Class Postage The graph below shows the cost...Ch. 9.4 - Show that the solutions of the equation ax2+bx=0,...Ch. 9.4 - In a second-degree equation in standard form, why...Ch. 9.4 - Solve the equation for x. x2+16ax+48a2=0Ch. 9.4 - Solve the equation for x. x28bx+15b2=0Ch. 9.4 - Solve the equation for x. 3x24cx+c2=0Ch. 9.4 - Solve the equation for x. 2x2xy3y2=0Ch. 9.4 - Show that the equation x2+bx1=0 always has real...Ch. 9 - Solve the equation. 5x+3=10x17Ch. 9 - Solve the equation. 3x+18=12Ch. 9 - Solve the equation. 6x+3(2x1)=27Ch. 9 - Solve the equation. 512=n8Ch. 9 - Solve the equation. 4y2+9=0Ch. 9 - Solve the equation. x2x=30Ch. 9 - Solve the equation. x2=4x1Ch. 9 - Solve the equation. x+3=x2Ch. 9 - Solve the formula for the given variable....Ch. 9 - Solve the formula for the given variable. f=v+at;tCh. 9 - Meteorology In June, the temperature at various...Ch. 9 - Falling Objects Find the time that it takes for...Ch. 9 - Chemistry A chemist mixes 100g of water at 80C...Ch. 9 - Telemarketing At a telemarketing firm, an employee...Ch. 9 - Fuel Consumption An automobile was driven 326.6mi...Ch. 9 - Real Estate A house with an original value of...Ch. 9 - Social Media In July 2012, Instagram announced 80...Ch. 9 - City Populations The table below shows the...Ch. 9 - Student-Faculty Ratios The table below shows the...Ch. 9 - Advertising The Randolph Company spent 350,000 for...Ch. 9 - Gardening Three tablespoons of a liquid plant...Ch. 9 - Federal Expenditures The table below shows how...Ch. 9 - Demographics According to the U.S. Bureau of the...Ch. 9 - Diet Americans consume 7 billion hot dogs from...Ch. 9 - Boston Marathon In the 2015 Boston Marathon,...Ch. 9 - Nutrition The table below shows the fat, saturated...Ch. 9 - The Military On Veterans Day in 2000. There were...Ch. 9 - Police Officers The graph below shows the causes...Ch. 9 - Retirement Programs Massachusetts teachers...Ch. 9 - Vacation Days In Italy, workers take an average of...Ch. 9 - Model Rockets A small rocket is shot from the edge...Ch. 9 - Sports The height h, in feet, of a ball t seconds...Ch. 9 - Solve the equation. x43=12Ch. 9 - Solve the equation. x+5(3x20)=10(x4)Ch. 9 - Solve the equation. 716=x12Ch. 9 - Solve the equation. x2=12x27Ch. 9 - Solve the equation. 3x24x=1Ch. 9 - Solve the formula for the given variable. x2y=15;yCh. 9 - Solve the formula for the given variable....Ch. 9 - Geysers Old Faithful is a geyser in Yellowstone...Ch. 9 - Energy The cost of electricity in a certain city...Ch. 9 - Rate of Speed You drive 246.6mi in 4.5h. Find your...Ch. 9 - Parks The table below lists the largest city parks...Ch. 9 - Baseball The table below shows six Major League...Ch. 9 - Social Media In 2015, Twitter announced that they...Ch. 9 - Partnerships The two partners in a partnership...Ch. 9 - Gardening The directions on a bag of plant food...Ch. 9 - Crime Rates The table below lists U.S. cities with...Ch. 9 - Pets During a recent year, nearly 1.2 million dogs...Ch. 9 - Smartphone Sales Apple Inc. reported that it sold...Ch. 9 - Compact Disc Sales In 2005, the total number of...Ch. 9 - Shot Put The equation h=16t2+28t+6, where, can be...

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