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 3.5, Problem 14E
Reminder Round all answers to two decimal places unless otherwise indicated.
Male and Female High School Graduates The table below shows the percentage of male and female high school graduates who enrolled in college within 12 months of graduation.
| Years | 1960 | 1965 | 1970 | 1975 |
| Males | 54% | 57.3% | 55.2% | 52.6% |
| Females | 37.9% | 45.3% | 48.5% | 49% |
a. Find the equation of the regression line for percentage of male high school graduates entering college as a function of time.
b. Find the equation of the regression line for percentage of female high school graduates entering college as a function of time.
c. Assume that the regression lines you found in part a and part b represent trends in the data. If the trends persisted, when would you expect first to have seen the same percentage of female and male graduates entering college? (You may be interested to know that this actually occurred for the first time in 1980. The percentages fluctuated but remained very close during the 1981s and 1990s. In the 2000s, more female graduates entered college than did males. In 2008, for example, the rate for males was 66% compared with 72% for females.)
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter 3 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Ch. 3.1 - Suppose that the peak of the roof occurs 20 rather...Ch. 3.1 - Re-do the example under the assumption that the...Ch. 3.1 - Reminder Round all answers two decimal places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Prob. 6ECh. 3.1 - Slides A company manufactures slides. The top of...Ch. 3.1 - Felling a Tree A tree service is to fell a tree. A...
Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Reminder Round all answers to two decimal places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Reminder Round all answers to two decimals places...Ch. 3.1 - Prob. 24ECh. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - Reminder Round all answers two decimals places...Ch. 3.1 - A Ramp A ramp runs from the ground level to a...Ch. 3.1 - A Rope A rope is stretched from the top of a...Ch. 3.1 - Slope from the Rise and Run One end of a ladder is...Ch. 3.1 - Prob. 4SBECh. 3.1 - Height from Slope and Horizontal Distance The base...Ch. 3.1 - Height from Slope and Horizontal Distance The base...Ch. 3.1 - Horizontal Distance from Height and Slope A ladder...Ch. 3.1 - Horizontal Distance from Height and Slope A ladder...Ch. 3.1 - Slope from Two Points Take west to be the positive...Ch. 3.1 - Continuation of Exercise S-9 If you move 5...Ch. 3.1 - A Circus Tent You are at the center of a circus...Ch. 3.1 - More on the Circus Tent Assume that the roof of...Ch. 3.1 - Slope If a building is 100 feet tall and is viewed...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Slopes of Lines in the Coordinate Plane For...Ch. 3.1 - Prob. 23SBECh. 3.1 - Prob. 24SBECh. 3.1 - Prob. 25SBECh. 3.2 - TEST YOUR UNDERSTADING FOR EXAMPLE 3.3 The State...Ch. 3.2 - Prob. 2TUCh. 3.2 - TEST YOUR UNDERSTADING FOR EXAMPLE 3.5 A donation...Ch. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Prob. 10ECh. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Prob. 15ECh. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Reminder Round all answer to two decimal places...Ch. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Reminder Round all answers to two decimal places...Ch. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - The Chess Club The number P of people in the chess...Ch. 3.2 - A Fast Car When I push the gas pedal to the floor,...Ch. 3.2 - Prob. 3SBECh. 3.2 - Prob. 4SBECh. 3.2 - Slope from Two Values Suppose that f is a linear...Ch. 3.2 - Prob. 6SBECh. 3.2 - Function Value from Slope and Run Suppose that f...Ch. 3.2 - Prob. 8SBECh. 3.2 - Run from Slope and Rise Suppose that f is a linear...Ch. 3.2 - Prob. 10SBECh. 3.2 - Linear Equation from Slope and Point Suppose that...Ch. 3.2 - Prob. 12SBECh. 3.2 - Linear Equation from Two Points Suppose that f is...Ch. 3.2 - Prob. 14SBECh. 3.2 - Prob. 15SBECh. 3.2 - Prob. 16SBECh. 3.2 - Properties of Linear Functions Exercises S-15...Ch. 3.2 - Prob. 18SBECh. 3.2 - Prob. 19SBECh. 3.2 - Properties of Linear Functions Exercises S-15...Ch. 3.2 - Properties of Linear Functions Exercises S-15...Ch. 3.2 - Prob. 22SBECh. 3.2 - Prob. 23SBECh. 3.2 - Prob. 24SBECh. 3.2 - Properties of Linear Functions Exercises S-15...Ch. 3.2 - Prob. 26SBECh. 3.2 - Prob. 27SBECh. 3.3 - TEST YOUR UNDERSTANDING FOR EXAMPLE 3.6 The...Ch. 3.3 - TEST YOUR UNDERSTANDING FOR EXAMPLE 3.7 Objects of...Ch. 3.3 - Employee Turnover The percentage of employees who...Ch. 3.3 - Cost of Adding Employees The following table shows...Ch. 3.3 - Making Ice Our ice machine is making ice in...Ch. 3.3 - Adjusted Gross Income An individuals adjusted...Ch. 3.3 - Price of Amazons Kindle The following table shows...Ch. 3.3 - 6. Tuition at American Private Universities The...Ch. 3.3 - Tuition at American Public Universities This is a...Ch. 3.3 - Total Cost The background for this exercise can be...Ch. 3.3 - Total Revenue and Profit This is a continuation of...Ch. 3.3 - Dropping Rocks on Mars The behavior of objects...Ch. 3.3 - The Kelvin Temperature Scale Physicists and...Ch. 3.3 - Further Verification of Newtons Second LawThis...Ch. 3.3 - Market supply The following table shows the...Ch. 3.3 - Market Demand This is a continuation of Exercise...Ch. 3.3 - Time Velocity 2.0 27.9 2.5 33.8 3.0 39.7 3.5 45.6...Ch. 3.3 - High School Graduates The following table shows...Ch. 3.3 - Later High School Graduates This is a continuation...Ch. 3.3 - Tax Table Here are selected entries from the 2014...Ch. 3.3 - Sound Speed in Oceans Marine scientists use a...Ch. 3.3 - Focal Length A refracting telescope has a main...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - When Date Are Unevenly speed. If data are evenly...Ch. 3.3 - When Date Are Unevenly speed. If data are evenly...Ch. 3.3 - Testing Data for Linearity Test the following data...Ch. 3.3 - Prob. 2SBECh. 3.3 - Making a Linear Model Make a linear model for the...Ch. 3.3 - Making a Linear Model The data in Exercise S-2 are...Ch. 3.3 - Graphing Discrete Data Plot the data from the...Ch. 3.3 - Prob. 6SBECh. 3.3 - Prob. 7SBECh. 3.3 - Prob. 8SBECh. 3.3 - Prob. 9SBECh. 3.3 - Prob. 10SBECh. 3.3 - Plotting Data and Functions In Exercise S-11...Ch. 3.3 - Prob. 12SBECh. 3.3 - Prob. 13SBECh. 3.3 - Prob. 14SBECh. 3.3 - Prob. 15SBECh. 3.3 - Prob. 16SBECh. 3.3 - Prob. 17SBECh. 3.3 - Prob. 18SBECh. 3.3 - Prob. 19SBECh. 3.3 - Prob. 20SBECh. 3.3 - Prob. 21SBECh. 3.3 - Prob. 22SBECh. 3.3 - Prob. 23SBECh. 3.3 - Prob. 24SBECh. 3.3 - Prob. 25SBECh. 3.4 - TEST YOUR UNDERSTANDING The following table shows...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Prob. 19ECh. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Prob. 22ECh. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - Remainder Round all answers to two decimal places...Ch. 3.4 - 3.4 SKILL BUILDING EXERCISES Using the Regression...Ch. 3.4 - Prob. 2SBECh. 3.4 - 3.4 SKILL BUILDING EXERCISES Using the Regression...Ch. 3.4 - 3.4 SKILL BUILDING EXERCISES Using the Regression...Ch. 3.4 - Prob. 5SBECh. 3.4 - 3.4 SKILL BUILDING EXERCISES Getting Regression...Ch. 3.4 - 3.4 SKILL BUILDING EXERCISES Getting Regression...Ch. 3.4 - Prob. 8SBECh. 3.4 - Prob. 9SBECh. 3.4 - Prob. 10SBECh. 3.4 - 3.4 SKILL BUILDING EXERCISES Getting Regression...Ch. 3.4 - Find the equation of the regression line for the...Ch. 3.4 - 3.4 SKILL BUILDING EXERCISES Getting Regression...Ch. 3.4 - 3.4 SKILL BUILDING EXERCISES Getting Regression...Ch. 3.4 - Prob. 15SBECh. 3.4 - Prob. 16SBECh. 3.4 - Prob. 17SBECh. 3.4 - Prob. 18SBECh. 3.4 - Prob. 19SBECh. 3.4 - Prob. 20SBECh. 3.4 - Prob. 21SBECh. 3.4 - Prob. 22SBECh. 3.5 - TEST YOUR UNDERSTANDING For dessert, we need to...Ch. 3.5 - Investing You have 30, 000 to invest. You will...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Motherboards A manufacturer produces motherboards...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - A Party You have 36 to spend on refreshments for a...Ch. 3.5 - Mixing Feed A milling company wants to mix alfalfa...Ch. 3.5 - An Order for Bulbs You have space in your garden...Ch. 3.5 - American Dollars and British Pounds Assume that at...Ch. 3.5 - Population Growth There are originally 255 foxes...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Fahrenheit and Celsius If you know the temperature...Ch. 3.5 - A Bag of coins A bag contains 30 coins, some dimes...Ch. 3.5 - Prob. 17ECh. 3.5 - Reminder Round all answers to two decimal places...Ch. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - A system of Three equations in Three unknowns...Ch. 3.5 - Prob. 23ECh. 3.5 - Prob. 1SBECh. 3.5 - SKILL BIULDIND EXERCISES What Is the Solution For...Ch. 3.5 - Setting Up System of Equations In Exercises S-3...Ch. 3.5 - Setting Up System of Equations In Exercises S-3...Ch. 3.5 - Setting Up System of Equations In Exercises S-3...Ch. 3.5 - Setting up System of Equations in Exercises S-3...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Systems That May Be Solved by Hand or With...Ch. 3.5 - Prob. 20SBECh. 3.5 - Prob. 21SBECh. 3.5 - Prob. 22SBECh. 3.5 - System Not Easily solved by Hand Calculation....Ch. 3.5 - Prob. 24SBECh. 3.5 - Prob. 25SBECh. 3.5 - Prob. 26SBECh. 3.5 - Prob. 27SBECh. 3.CR - Drainage Pipe Slope Suppose a drainage pipe slopes...Ch. 3.CR - Prob. 2CRCh. 3.CR - A Ramp into a Van Suppose a ramp is used to move a...Ch. 3.CR - Reminder Round all answers to two decimal places...Ch. 3.CR - Prob. 5CRCh. 3.CR - Reminder Round all answers to two decimal places...Ch. 3.CR - Prob. 7CRCh. 3.CR - Working on a Commission A certain man works in...Ch. 3.CR - Reminder Round all answers to two decimal places...Ch. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Marginal Tax Rate The following table shows tax...Ch. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Life Expectancy The following table shows the...Ch. 3.CR - XYZ Corporation Stock Prices The following table...Ch. 3.CR - Prob. 17CRCh. 3.CR - Prob. 18CRCh. 3.CR - Bills A stack contains 400 worth of paper money...Ch. 3.CR - Mixing You're mixing blue paint with yellow paint...Ch. 3.FR2 - Prob. 1ECh. 3.FR2 - Prob. 2ECh. 3.FR2 - Prob. 3ECh. 3.FR2 - Prob. 4ECh. 3.FR2 - Prob. 5ECh. 3.FR2 - Prob. 6ECh. 3.FR2 - Prob. 7ECh. 3.FR2 - Prob. 8ECh. 3.FR2 - Prob. 9ECh. 3.FR3 - Prob. 1TUCh. 3.FR3 - Prob. 1ECh. 3.FR3 - Prob. 2ECh. 3.FR3 - Prob. 3ECh. 3.FR3 - Prob. 4ECh. 3.FR3 - Prob. 5ECh. 3.FR3 - Prob. 6ECh. 3.FR3 - Prob. 7ECh. 3.FR3 - Prob. 8ECh. 3.FR3 - Prob. 9ECh. 3.FR3 - Prob. 10ECh. 3.FR3 - Prob. 11ECh. 3.FR3 - Prob. 12ECh. 3.FR3 - Prob. 13E
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