Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Textbook Question
Chapter 2.5, Problem 4E

Reminder Round all answers to two decimal places unless otherwise indicated.

Driving Under the Influence: The Widmark formula,30 developed in 1932, is used to model the blood alcohol content B at a time t hours after consuming alcohol

B = 5.14 A r W 0.015 t

Here B is the blood alcohol content, W is the weight in pounds, A is the liquid ounces of alcohol consumed, and r is a factor determined by gender (0.73for men and 0.66 for women).

Consider the blood alcohol content of a 180-pound man after consuming six 12-ounce cans of beer.

a. The beer consumed is 6% alcohol. How many ounces of alcohol were consumed?
b. Write a formula that gives the blood alcohol content for this man t hours after consuming the alcohol. Round the first term to three decimal places.
c. In most states, driving with a blood alcohol content of 0.08 or higher may result in arrest and severe penalties. During which time period is it unlawful for this man to drive?
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Chapter 2 Solutions

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Ch. 2.1 - Harvard Step Test The Harvard Step Test was...Ch. 2.1 - Public High School Enrollment One model for the...Ch. 2.1 - Later Public High School Enrollment Here is a...Ch. 2.1 - Species-Area Relation The number of species of...Ch. 2.1 - Competition Two friends enjoy competing with each...Ch. 2.1 - Profit The profit P, in thousands of dollars that...Ch. 2.1 - Prob. 15ECh. 2.1 - Counting when Order Does Not Matter This is a...Ch. 2.1 - APR and EAR Recall that the APR the annual...Ch. 2.1 - An Amortization Table Suppose you borrow P dollars...Ch. 2.1 - Prob. 19ECh. 2.1 - Renting Motel Rooms You own a motel with 30 rooms,...Ch. 2.1 - Prob. 21ECh. 2.1 - A Population of Foxes A breeding group of foxes is...Ch. 2.1 - Falling with a parachute If an average-sized man...Ch. 2.1 - Rolling 4 Sixes If you roll N dice, then the...Ch. 2.1 - Prob. 25ECh. 2.1 - Profit with Varying Price The background for this...Ch. 2.1 - A Precocious Child and Her Blocks A child has 64...Ch. 2.1 - Renting Paddleboats An enterprise rents out...Ch. 2.1 - Growth in Length of Haddock D.S. Raitt found that...Ch. 2.1 - Discharge from a Fire Hose The discharge from a...Ch. 2.1 - Prob. 31ECh. 2.1 - Terminal Velocity Revisited In one of the early...Ch. 2.1 - Research Project Find a function given by formula...Ch. 2.1 - Making Tables and Comparing Functions In Exercises...Ch. 2.1 - Prob. 2SBECh. 2.1 - Prob. 3SBECh. 2.1 - Prob. 4SBECh. 2.1 - Prob. 5SBECh. 2.1 - Prob. 6SBECh. 2.1 - Prob. 7SBECh. 2.1 - Prob. 8SBECh. 2.1 - Prob. 9SBECh. 2.1 - Prob. 10SBECh. 2.1 - Prob. 11SBECh. 2.1 - Finding Limiting Values In Exercises S-11 through...Ch. 2.1 - Prob. 13SBECh. 2.1 - Prob. 14SBECh. 2.1 - Prob. 15SBECh. 2.1 - Prob. 16SBECh. 2.1 - Prob. 17SBECh. 2.1 - Prob. 18SBECh. 2.1 - Prob. 19SBECh. 2.1 - Prob. 20SBECh. 2.1 - Prob. 21SBECh. 2.1 - Prob. 22SBECh. 2.1 - Finding Limiting Values In Exercises S-11 through...Ch. 2.1 - Prob. 24SBECh. 2.1 - Finding Maxima and Minima In Exercises S-25...Ch. 2.1 - Prob. 26SBECh. 2.1 - Prob. 27SBECh. 2.1 - Prob. 28SBECh. 2.1 - Prob. 29SBECh. 2.1 - Prob. 30SBECh. 2.1 - Prob. 31SBECh. 2.1 - Prob. 32SBECh. 2.2 - TEST TOUR UNDERSTANDING FOR EXAMPLE 2.3 Suppose a...Ch. 2.2 - TEST TOUR UNDERSTANDING FOR EXAMPLE 2.4 Changes in...Ch. 2.2 - Continuous Compounding A certain investment is...Ch. 2.2 - Present Value: The present value P is the...Ch. 2.2 - Equity: When you use a mortgage to purchase a...Ch. 2.2 - Buying a Car: If you buy a 25,000 car at an APR of...Ch. 2.2 - Adult Weight from Puppy Weight There is a formula...Ch. 2.2 - Mosteller Formula for Body Surface Area: Body...Ch. 2.2 - Weekly Cost: The weekly cost of running a small...Ch. 2.2 - Average Speed: A commuter regularly drives 70...Ch. 2.2 - Resale Value: The resale value V, in dollars, of a...Ch. 2.2 - Profit The yearly profit P for a widget producer...Ch. 2.2 - Baking a Potato: A potato is placed in a preheated...Ch. 2.2 - Functional Response: The amount C of food consumed...Ch. 2.2 - Population Growth: The growth G of a population...Ch. 2.2 - Ohms Law: says that when electric current is...Ch. 2.2 - Prob. 15ECh. 2.2 - Monthly Payment for a Home: If you borrow 120,000...Ch. 2.2 - Prob. 17ECh. 2.2 - Alexanders Formula One interesting problem in the...Ch. 2.2 - Prob. 18.2ECh. 2.2 - Prob. 19ECh. 2.2 - Planet Growth The amount of growth of plants in an...Ch. 2.2 - Prob. 21ECh. 2.2 - Viewing Earth: Astronauts looking at Earth from a...Ch. 2.2 - Magazine Circulation: The circulation C of a...Ch. 2.2 - Prob. 24ECh. 2.2 - Buffalo: Waterton Lakes National Park of Canada,...Ch. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 1SBECh. 2.2 - Prob. 2SBECh. 2.2 - Prob. 3SBECh. 2.2 - Prob. 4SBECh. 2.2 - Prob. 5SBECh. 2.2 - Prob. 6SBECh. 2.2 - Prob. 7SBECh. 2.2 - Prob. 8SBECh. 2.2 - Prob. 9SBECh. 2.2 - Prob. 10SBECh. 2.2 - Prob. 11SBECh. 2.2 - Finding Windows and Making Graphs: In Exercises...Ch. 2.2 - Prob. 13SBECh. 2.2 - Prob. 14SBECh. 2.2 - Prob. 15SBECh. 2.2 - Prob. 16SBECh. 2.2 - Prob. 17SBECh. 2.2 - Finding Windows and Making Graphs: In Exercises...Ch. 2.2 - Prob. 19SBECh. 2.2 - Prob. 20SBECh. 2.2 - Prob. 21SBECh. 2.2 - Prob. 22SBECh. 2.2 - Prob. 23SBECh. 2.2 - Prob. 24SBECh. 2.2 - Prob. 25SBECh. 2.2 - Prob. 26SBECh. 2.2 - Prob. 27SBECh. 2.2 - Prob. 28SBECh. 2.2 - Prob. 29SBECh. 2.2 - Finding Windows and Making Graphs: In Exercises...Ch. 2.3 - In the situation of the example, how long could...Ch. 2.3 - If you travel 300 miles on the first day and then...Ch. 2.3 - Prob. 3TUCh. 2.3 - Prob. 1ECh. 2.3 - Trans Fat You are ordering fast food for your...Ch. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - Break-even Point A manufacturer of T-shirts has...Ch. 2.3 - Juice Sales The number J, in thousands, of cans of...Ch. 2.3 - Resale Value The resale value V, in thousands of...Ch. 2.3 - Aerobic Power Aerobic power can be thought of as...Ch. 2.3 - Gas Mileage The distance d, in miles, that you can...Ch. 2.3 - Isocost Equation We are to buy quantities of two...Ch. 2.3 - Supply and Demand The quantity S of barley, in...Ch. 2.3 - Stock Turnover at Retail In retail sales, an...Ch. 2.3 - Prob. 13ECh. 2.3 - Sales Strategy A small business is considering...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Temperature Conversions In everyday experience,...Ch. 2.3 - The Ideal Gas Law A mole of a chemical is a fixed...Ch. 2.3 - Running Ants A scientist observed that the speed S...Ch. 2.3 - Tax Owed According to the Oklahoma Income Tax...Ch. 2.3 - Prob. 21ECh. 2.3 - Growth in Weight and Height Between the ages of 7...Ch. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 1SBECh. 2.3 - Prob. 2SBECh. 2.3 - Prob. 3SBECh. 2.3 - Prob. 4SBECh. 2.3 - Prob. 5SBECh. 2.3 - Prob. 6SBECh. 2.3 - Prob. 7SBECh. 2.3 - Solving Linear Equations In Exercises S-7 through...Ch. 2.3 - Prob. 9SBECh. 2.3 - Solving Linear Equations In Exercises S-7 through...Ch. 2.3 - Prob. 11SBECh. 2.3 - Solving Linear Equations In Exercises S-7 through...Ch. 2.3 - Prob. 13SBECh. 2.3 - Prob. 14SBECh. 2.3 - Prob. 15SBECh. 2.3 - Prob. 16SBECh. 2.3 - Prob. 17SBECh. 2.3 - Prob. 18SBECh. 2.3 - Prob. 19SBECh. 2.3 - Prob. 20SBECh. 2.3 - Prob. 21SBECh. 2.3 - Prob. 22SBECh. 2.3 - Prob. 23SBECh. 2.3 - Prob. 24SBECh. 2.3 - Prob. 25SBECh. 2.3 - Prob. 26SBECh. 2.3 - Prob. 27SBECh. 2.3 - Reversing Roles of Variables In Exercises S-17...Ch. 2.3 - Prob. 29SBECh. 2.3 - Prob. 30SBECh. 2.4 - The number N of deer expected to be present on the...Ch. 2.4 - Prob. 2TUCh. 2.4 - Doubling Time An investment grows according to the...Ch. 2.4 - You Win the Lottery Congratulations You have just...Ch. 2.4 - Prob. 3ECh. 2.4 - Your Childs Education You want to begin making...Ch. 2.4 - Engine Displacement The displacement for an...Ch. 2.4 - Altmans z-score Altmans z-score is a financial...Ch. 2.4 - Admiralty Coefficient The Admiralty Coefficent A...Ch. 2.4 - Properller Size An ideal diameter d, in feet, of a...Ch. 2.4 - A Population of Foxes A breeding group of foxes is...Ch. 2.4 - Profit The monthly profit P for a widget producer...Ch. 2.4 - Prob. 11ECh. 2.4 - The Skydiver Again When a skydiver jumps from an...Ch. 2.4 - Falling with a Parachute If an average-sized man...Ch. 2.4 - A Cup of Cofee The temperature C of a fresh cup of...Ch. 2.4 - Reaction Rates In a chemical reaction, the...Ch. 2.4 - Population Growth The growth G of a population of...Ch. 2.4 - Van der Waals Equation In Exercise 18 at the end...Ch. 2.4 - Radioactive Decay The half-life of a radioactive...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Grazing Kangaroos The amount of vegetation eaten...Ch. 2.4 - Grazing Rabbits and Sheep This is a continuation...Ch. 2.4 - Prob. 23ECh. 2.4 - Hosting a Convention You are hosting a convention...Ch. 2.4 - Breaking Even The background for this exercise can...Ch. 2.4 - Prob. 26ECh. 2.4 - Water Flea F. E Smith has reported on population...Ch. 2.4 - Hollings Functional Response Curve The total...Ch. 2.4 - Radius of a Shock Wave An explosion produces a...Ch. 2.4 - Prob. 30ECh. 2.4 - Home Equity When you purchase a home by securing a...Ch. 2.4 - Prob. 1SBECh. 2.4 - Prob. 2SBECh. 2.4 - Setting Up Equations Each of Exercise S-1 through...Ch. 2.4 - Prob. 4SBECh. 2.4 - Prob. 5SBECh. 2.4 - The Crossing-Graphs Method In Exercise S-5 through...Ch. 2.4 - The Crossing-Graphs Method In Exercise S-5 through...Ch. 2.4 - Prob. 8SBECh. 2.4 - Prob. 9SBECh. 2.4 - The Crossing-Graphs Method In Exercise S-5 through...Ch. 2.4 - The Crossing-Graphs Method In Exercise S-5 through...Ch. 2.4 - Prob. 12SBECh. 2.4 - Prob. 13SBECh. 2.4 - The Crossing-Graphs Method In Exercise S-5 through...Ch. 2.4 - Prob. 15SBECh. 2.4 - Prob. 16SBECh. 2.4 - Prob. 17SBECh. 2.4 - Prob. 18SBECh. 2.4 - The Single-Graph Method In Exercises S-17 through...Ch. 2.4 - Prob. 20SBECh. 2.4 - Prob. 21SBECh. 2.4 - Prob. 22SBECh. 2.4 - Prob. 23SBECh. 2.4 - Prob. 24SBECh. 2.4 - Prob. 25SBECh. 2.4 - Prob. 26SBECh. 2.4 - The Single-Graph Method In Exercises S-17 through...Ch. 2.4 - Prob. 28SBECh. 2.5 - During what time period would the broker advise...Ch. 2.5 - Prob. 2TUCh. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Prob. 2ECh. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Prob. 5.2ECh. 2.5 - Prob. 6ECh. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Reminder Round all answers to two decimal places...Ch. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 1SBECh. 2.5 - Prob. 2SBECh. 2.5 - Finding Inequalities Each of Exercises S-1 through...Ch. 2.5 - Prob. 4SBECh. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Prob. 6SBECh. 2.5 - Prob. 7SBECh. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Prob. 9SBECh. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Prob. 13SBECh. 2.5 - Prob. 14SBECh. 2.5 - Solving Inequalities Solve the inequalities in...Ch. 2.5 - Prob. 16SBECh. 2.5 - Prob. 17SBECh. 2.5 - Prob. 18SBECh. 2.5 - Prob. 19SBECh. 2.6 - TEST YOUR UNTERSTANDING FOR EXAMPLE 2.12 Replace...Ch. 2.6 - World Crude Oil Production In 1956, M.King Hubbert...Ch. 2.6 - Life Expectancy Versus Health Care Spending One...Ch. 2.6 - Builders Old Measurement The Builders Old...Ch. 2.6 - Drug Concentration When a drug is administered...Ch. 2.6 - The Cannon at a Different Angle Suppose a cannon...Ch. 2.6 - Profit The weekly profit P for a widget producer...Ch. 2.6 - Marine Fishery One class of models for population...Ch. 2.6 - Enclosing a field You have 16 miles of fence that...Ch. 2.6 - Forming a pen We want to form a rectangle pen of...Ch. 2.6 - Sales Growth In this exercise, we develop a model...Ch. 2.6 - Maximum Sales Growth This is a continuation of...Ch. 2.6 - An Aluminum Can The cost of making a can is...Ch. 2.6 - Prob. 13ECh. 2.6 - Cost for a Can This is a continuation of Exercises...Ch. 2.6 - Prob. 15ECh. 2.6 - Laying Phone Cable City A lies on the north bank...Ch. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Spawner-Recruit Model In fish management it is...Ch. 2.6 - Rate of Growth The rate of growth G in the weight...Ch. 2.6 - Health Plan The manager of an employee health plan...Ch. 2.6 - Size of High Schools The farm population has...Ch. 2.6 - Prob. 24ECh. 2.6 - Water Flea F. E. Smith has studied population...Ch. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Maximum and Minimum Values In Exercise S-1 through...Ch. 2.6 - Maximum and Minimum Values In Exercise S-1 through...Ch. 2.6 - Prob. 3SBECh. 2.6 - Prob. 4SBECh. 2.6 - Prob. 5SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 8SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 10SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 12SBECh. 2.6 - Prob. 13SBECh. 2.6 - Prob. 14SBECh. 2.6 - Prob. 15SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 17SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 20SBECh. 2.6 - Finding Maxima and Minima In Exercises S-5 through...Ch. 2.6 - Prob. 22SBECh. 2.6 - Prob. 23SBECh. 2.6 - Prob. 24SBECh. 2.6 - Prob. 25SBECh. 2.6 - Prob. 26SBECh. 2.6 - Endpoint Maximum Find the maximum value of...Ch. 2.6 - Maximum and Minimum Find the maximum and minimum...Ch. 2.CR - Finding a Minimum Suppose the function...Ch. 2.CR - Population of Foxes A breeding group of foxes is...Ch. 2.CR - Prob. 3CRCh. 2.CR - Water Jug If a completely full 5-gallon water jug...Ch. 2.CR - Maxima and Minima Find the maximum and minimum...Ch. 2.CR - George Reserve Population The number of deer on...Ch. 2.CR - Prob. 7CRCh. 2.CR - Forming a Pen We want to form a free-standing...Ch. 2.CR - The Crossing-Graphs Method Solve using the...Ch. 2.CR - Prob. 10CRCh. 2.CR - Prob. 11CRCh. 2.CR - Prob. 12CRCh. 2.CR - Linear Equations Solve for W:L=98.42+1.08W4.14A.Ch. 2.CR - Growth of North Sea Sole The length of North Sea...Ch. 2.CR - Minimum Find the minimum value of x2+20/(x+1) on...Ch. 2.CR - Prob. 16CRCh. 2.CR - Prob. 17CRCh. 2.CR - Temperature Conversions The three principal...Ch. 2.CR - Lidocaine Lidocaine is a drug used to treat...Ch. 2.CR - The Single-Graph Method Use the single-graph...Ch. 2.CR - Prob. 21CRCh. 2.FR1 - Prob. 1ECh. 2.FR1 - Prob. 2ECh. 2.FR1 - Prob. 3ECh. 2.FR1 - Prob. 4ECh. 2.FR1 - Prob. 5ECh. 2.FR1 - Prob. 6ECh. 2.FR1 - Prob. 7ECh. 2.FR1 - Prob. 8ECh. 2.FR1 - Prob. 9ECh. 2.FR1 - Prob. 10ECh. 2.FR1 - Prob. 11ECh. 2.FR1 - Prob. 12ECh. 2.FR1 - Prob. 13ECh. 2.FR1 - Prob. 14ECh. 2.FR1 - Prob. 15ECh. 2.FR2 - Prob. 1ECh. 2.FR2 - Prob. 2ECh. 2.FR2 - Prob. 3ECh. 2.FR2 - Prob. 4ECh. 2.FR2 - Prob. 5ECh. 2.FR2 - Prob. 6ECh. 2.FR2 - Prob. 7ECh. 2.FR2 - Prob. 8ECh. 2.FR2 - Prob. 9ECh. 2.FR2 - Prob. 10ECh. 2.FR2 - Prob. 11ECh. 2.FR2 - Prob. 12ECh. 2.FR2 - Prob. 13ECh. 2.FR2 - Prob. 14ECh. 2.FR2 - Prob. 15ECh. 2.FR3 - Locating the Vertex of a Parabola In Exercises 1...Ch. 2.FR3 - Prob. 2ECh. 2.FR3 - Prob. 3ECh. 2.FR3 - Prob. 4ECh. 2.FR3 - Prob. 5ECh. 2.FR3 - Prob. 6ECh. 2.FR3 - Applications Exercises 5 through 13 illustrate...Ch. 2.FR3 - Prob. 8ECh. 2.FR3 - Prob. 9ECh. 2.FR3 - Prob. 10ECh. 2.FR3 - Prob. 11ECh. 2.FR3 - Prob. 12ECh. 2.FR3 - Prob. 13E
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  • Reminder Round all answers to two decimal places unless otherwise indicated. Mosteller Formula for Body Surface Area Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formula gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the height h in centimeters The relation is B=160h1/2w1/2 a. Use the Mosteller formula to estimate the body surface area for a man who is 188 centimeters tall and weighs 86kilograms. b. The weight of an adult increases by 10. How will this change affect his burly surface area? Give your answer as a percentage. Note: You may assume that the adults height will stay the same.
    Reminder Round all answers to two decimal places unless otherwise indicated. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
    Reminder Round all answers to two decimal places unless otherwise indicated. More on investing You have 20, 000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10 return on stocks and a 2 return on bonds. You want total return of 5 on your investment. a. The dollar amount of total return is 0.0520,000=1000. What is the dollar amount of return stocks and dollar amount for bonds? Suggestion: Yours answers will in volve the variables S and B. b. Write a system of two equations in two unknowns that determines how much will be invested in each category. Suggestion: One equation should show the total amount invested. The equation should show the total dollar return. c. Solve the system from part b to find the amount invested in stocks and the amount invested in bonds.
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