College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
5th Edition
ISBN: 9780134179025
Author: Ronald J. Harshbarger, Lisa S. Yocco
Publisher: PEARSON
bartleby

Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
bartleby

Videos

Textbook Question
Book Icon
Chapter 3.2, Problem 85E

Retail Sales November and December retail sales, excluding autos, for the years 2001–2010 can be modeled by the function S ( x ) = − 1.751 x 2 + 38.167 x + 388.997 billion dollars, where x is the number of years after 2000.

a.    Graph the function for values of x representing 2001–2010.

b.    During what years does the model estimate the sales to be $550 billion?

c.    The recession in 2008 caused retail sales to drop. Does the model agree with the facts: that is, does it indicate that a maximum occurred in 2008?

(Source: U.S. Census Bureau)

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 3.2, Problem 84E
Next
Chapter 3.2, Problem 86E
Students have asked these similar questions
Use the graph to solve 3x2-3x-8=0
I want answer
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.

Chapter 3 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - In Exercises 16, (a) determine whether the...Ch. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - In Exercises 714, (a) graph each quadratic...
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - In Exercises 714, (a) graph each quadratic...Ch. 3.1 - In Exercises 714, (a) graph each quadratic...Ch. 3.1 - Prob. 15ECh. 3.1 - Write the equation of the quadratic function whose...Ch. 3.1 - The two graphs shown have equations of the forni y...Ch. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - In Exercises 2130, (a) give the coordinates of the...Ch. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - In Exercises 2130, (a) give the coordinates of the...Ch. 3.1 - In Exercises 2130, (a) give the coordinates of the...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Use the graph of each function in Exercises 4146...Ch. 3.1 - Prob. 44ECh. 3.1 - Use the graph of each function in Exercises 4146...Ch. 3.1 - Use the graph of each function in Exercises 4146...Ch. 3.1 - Profit The daily profit for a product is given by...Ch. 3.1 - Profit The daily profit for a product is given by...Ch. 3.1 - Worldwide Mobile Phone Shipments For selected...Ch. 3.1 - Prob. 50ECh. 3.1 - Tourism Spending The equation y = 1.69x2 0.92x +...Ch. 3.1 - Prob. 52ECh. 3.1 - Flight of a Ball If a ball is thrown upward at...Ch. 3.1 - Prob. 54ECh. 3.1 - Crude Oil The U.S. Crude Oil production, in...Ch. 3.1 - Prob. 56ECh. 3.1 - Profit The profit for a certain brand of MP3...Ch. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Wind and Pollution The amount of particulate...Ch. 3.1 - Drug Sensitivity The sensitivity S to a drug is...Ch. 3.1 - Falling Object A tennis ball is thrown downward...Ch. 3.1 - Break-Even The profit for a product is given by P...Ch. 3.1 - Flight of a Ball A softball is hit with upward...Ch. 3.1 - Flight of a Ball A baseball is hit with upward...Ch. 3.1 - Apartment Rental The owner of an apartment...Ch. 3.1 - Rink Rental The owner of a skating rink rents the...Ch. 3.1 - World Population A low-projection scenario for...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 110, use factoring to solve the...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - In Exercises 116, find the x-intercepts...Ch. 3.2 - Use a graphing utility to find or to approximate...Ch. 3.2 - Prob. 18ECh. 3.2 - Use a graphing utility to find or to approximate...Ch. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - In Exercises 2934, use the square root method to...Ch. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - In Exercises 4954, find the exact solutions to...Ch. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - In Exercises 5558, you are given the graphs of...Ch. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - In Exercises 6374, solve analytically and then...Ch. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - In Exercises 6374, solve analytically and then...Ch. 3.2 - In Exercises 6374, solve analytically and then...Ch. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Prob. 71ECh. 3.2 - In Exercises 6374, solve analytically and then...Ch. 3.2 - Prob. 73ECh. 3.2 - In Exercises 6374, solve analytically and then...Ch. 3.2 - Prob. 75ECh. 3.2 - Prob. 76ECh. 3.2 - Prob. 77ECh. 3.2 - Prob. 78ECh. 3.2 - Prob. 79ECh. 3.2 - Prob. 80ECh. 3.2 - Prob. 81ECh. 3.2 - International Travel to the United States The...Ch. 3.2 - Gold Prices The price of an ounce of gold in U.S....Ch. 3.2 - Non-White Population The number of millions of...Ch. 3.2 - Retail Sales November and December retail sales,...Ch. 3.2 - Prob. 86ECh. 3.2 - World Population One projection of the world...Ch. 3.3 - In Exercises 110, sketch the graph of each...Ch. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - a.Graph f(x)={4x3ifx3x2ifx3 b.Find f(2) and f(4)....Ch. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Compare the graph in Exercise 30 with the graph in...Ch. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Electric Charges For the nonextreme weather...Ch. 3.3 - Prob. 44ECh. 3.3 - First-Class Postage The first-class postage...Ch. 3.3 - Income Tax The U.S. federal income tax owed by a...Ch. 3.3 - Banks The number of banks in the United States for...Ch. 3.3 - Wind Chill The formula that gives the wind chill...Ch. 3.3 - Female Physicians Representation of females in...Ch. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - U.S. Population The U.S. population can be modeled...Ch. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Purchasing Power The purchasing power of a 1983...Ch. 3.3 - Trust in the Government The percent of people who...Ch. 3.3 - Prob. 59ECh. 3.3 - Concentration of Body Substances The concentration...Ch. 3.3 - Investing If money is invested for 3 years with...Ch. 3.3 - Investing If money is invested for 4 years with...Ch. 3.3 - Investing The present value that will give a...Ch. 3.3 - Investing The present value that will give a...Ch. 3.4 - In Exercises 16, write the equation of the...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - A ball is thrown upward from the top of a...Ch. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Find the quadratic function that is the best fit...Ch. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Smart Phones Bill payment using smart phones is...Ch. 3.4 - Obesity Obesity (BMI 30) increases the risk of...Ch. 3.4 - Wind Chill The table gives the wind chill...Ch. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Alzheimers Disease Partially because of American...Ch. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - World Population One projection of the world...Ch. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Energy Use The following table shows the energy...Ch. 3.4 - Average Annual Wage The following table shows the...Ch. 3.4 - Insurance Rates The following table gives the...Ch. 3.4 - Banks The table gives the number of banks in the...Ch. 3.4 - U.S. Gross Domestic Product The table gives the...Ch. 3.4 - Auto Noise The noise level of a Volvo S60...Ch. 3.4 - Crude Oil The following table gives the U.S. crude...Ch. 3.4 - Box-Office Revenues The data in the table in the...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - In Exercises 16, use the rules of exponents to...Ch. 3 - Prob. 7TECh. 3 - Prob. 8TECh. 3 - Prob. 9TECh. 3 - Prob. 10TECh. 3 - Prob. 11TECh. 3 - Prob. 12TECh. 3 - Prob. 13TECh. 3 - Prob. 14TECh. 3 - Prob. 15TECh. 3 - Prob. 16TECh. 3 - Prob. 17TECh. 3 - Prob. 18TECh. 3 - Prob. 19TECh. 3 - Prob. 20TECh. 3 - Prob. 21TECh. 3 - Prob. 22TECh. 3 - Prob. 23TECh. 3 - Prob. 24TECh. 3 - Prob. 25TECh. 3 - Prob. 26TECh. 3 - Prob. 27TECh. 3 - Prob. 28TECh. 3 - Prob. 29TECh. 3 - Prob. 30TECh. 3 - In Exercises 2342, factor each of the polynomials...Ch. 3 - Prob. 32TECh. 3 - Prob. 33TECh. 3 - Prob. 34TECh. 3 - Prob. 35TECh. 3 - Prob. 36TECh. 3 - Prob. 37TECh. 3 - Prob. 38TECh. 3 - Prob. 39TECh. 3 - Prob. 40TECh. 3 - Prob. 41TECh. 3 - Prob. 42TECh. 3 - Prob. 43TECh. 3 - Prob. 44TECh. 3 - Prob. 45TECh. 3 - Prob. 46TECh. 3 - Prob. 47TECh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Determine whether the function y=3x2 is increasing...Ch. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Find the equation of a quadratic function whose...Ch. 3 - Find the equation of a quadratic function whose...Ch. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Suppose that q varies directly as the 3/2 power of...Ch. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Height of a Ball If a ball is thrown into the air...Ch. 3 - Visas The number of skilled workers visas issued...Ch. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Millionaire's Tax Rate The effective tax rate for...Ch. 3 - Prob. 50RECh. 3 - ATV Deaths The number of ATV-related deaths for...Ch. 3 - Home Range The home range of an animal is the...Ch. 3 - Internet Usage Around 40% of the worlds population...Ch. 3 - Personal Income The income received by people from...Ch. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - National Health Expenditures Health spending is...Ch. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RE
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
SEE MORE TEXTBOOKS
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY