Skip to main content

Math Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

In each of the next set of problems, assume that the data can be modified by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantities. (See Example 1.) Baseball Suppose a baseball is thrown at 85 miles per hour. The ball will travel 320 feet when hit by a bay swung at 50 miles per hour and will travel 440 feet when hit by a bat swung at 80 miles per hour. Let y be the number of feet travelled by a ball when hit by a bat swung at x miles per hour. ( Note: The preceding data are valid for 50 ≤ x ≤ 90 , where the bat is 35 inches long, weighs 32 ounces, and strikes a waist-high pitch so that the place of the swung lies at 10 o from the diagonal) [Data from: Robert K. Adair, the Physics of Baseball (HarperCollins, 1990)]. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?

In each of the next set of problems, assume that the data can be modified by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantities. (See Example 1.) Baseball Suppose a baseball is thrown at 85 miles per hour. The ball will travel 320 feet when hit by a bay swung at 50 miles per hour and will travel 440 feet when hit by a bat swung at 80 miles per hour. Let y be the number of feet travelled by a ball when hit by a bat swung at x miles per hour. ( Note: The preceding data are valid for 50 ≤ x ≤ 90 , where the bat is 35 inches long, weighs 32 ounces, and strikes a waist-high pitch so that the place of the swung lies at 10 o from the diagonal) [Data from: Robert K. Adair, the Physics of Baseball (HarperCollins, 1990)]. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?

Solution Summary: The author explains how the ball travels 4 ft. for each mile-per-hour increase in the speed of the bat.

Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767611

Author: Margaret L. Lial, Tom Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Textbook Question

Chapter 2.3, Problem 9E

In each of the next set of problems, assume that the data can be modified by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantities. (See Example 1.)

Baseball Suppose a baseball is thrown at 85 miles per hour. The ball will travel 320 feet when hit by a bay swung at 50 miles per hour and will travel 440 feet when hit by a bat swung at 80 miles per hour. Let y be the number of feet travelled by a ball when hit by a bat swung at x miles per hour. (Note: The preceding data are valid for 50 ≤ x ≤ 90 , where the bat is 35 inches long, weighs 32 ounces, and strikes a waist-high pitch so that the place of the swung lies at 10^o from the diagonal) [Data from: Robert K. Adair, the Physics of Baseball (HarperCollins, 1990)]. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 2.3, Problem 8E

Chapter 2.3, Problem 10E

Chapter 2 Solutions

Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 2.1 - Checkpoint Locate (1,6),(3,5),(4,3),(0,2),and(5,0)...Ch. 2.1 - Checkpoint Which of the following are solutions of...Ch. 2.1 - Prob. 3CP Ch. 2.1 - Prob. 4CP Ch. 2.1 - Checkpoint From Figure 2.7 determine when the S&P...Ch. 2.1 - Prob. 6CP Ch. 2.1 - Prob. 7CP Ch. 2.1 - Prob. 8CP Ch. 2.1 - Prob. 1E Ch. 2.1 - State the quadrant in which each point lies....

Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Find the x-intercepts and y-intercepts of the...Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Find the x-intercepts and y-intercepts of the...Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Sketch the graph of the equation. See Examples...Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Sketch the graph of the equation. See Examples...Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Sketch the graph of the information in the...Ch. 2.1 - Prob. 40E Ch. 2.1 - ATM Fees An article in The Wall Street Journal on...Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - ATM Fees An article in The Wall Street Journal on...Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - Prob. 61E Ch. 2.1 - Prob. 62E Ch. 2.1 - Prob. 63E Ch. 2.1 - Prob. 64E Ch. 2.1 - Prob. 65E Ch. 2.1 - Prob. 66E Ch. 2.1 - Prob. 67E Ch. 2.1 - Prob. 68E Ch. 2.1 - Use a graphing calculator for Exercises 69-70....Ch. 2.1 - Prob. 70E Ch. 2.1 - Prob. 71E Ch. 2.1 - Prob. 72E Ch. 2.1 - Prob. 73E Ch. 2.1 - Prob. 74E Ch. 2.1 - Prob. 75E Ch. 2.1 - Use a graphing calculator to approximate all real...Ch. 2.2 - Prob. 1CP Ch. 2.2 - Prob. 2CP Ch. 2.2 - Find the slope and y-intercept of a x+4y=6; b...Ch. 2.2 - Prob. 4CP Ch. 2.2 - Prob. 5CP Ch. 2.2 - Prob. 6CP Ch. 2.2 - Prob. 7CP Ch. 2.2 - Prob. 8CP Ch. 2.2 - Prob. 9CP Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.2 - Prob. 38E Ch. 2.2 - Prob. 39E Ch. 2.2 - Prob. 40E Ch. 2.2 - Prob. 41E Ch. 2.2 - Prob. 42E Ch. 2.2 - Prob. 43E Ch. 2.2 - Prob. 44E Ch. 2.2 - Prob. 45E Ch. 2.2 - Prob. 46E Ch. 2.2 - Prob. 47E Ch. 2.2 - Prob. 48E Ch. 2.2 - Prob. 49E Ch. 2.2 - Prob. 50E Ch. 2.2 - Prob. 51E Ch. 2.2 - Prob. 52E Ch. 2.2 - Prob. 53E Ch. 2.2 - Prob. 54E Ch. 2.2 - Prob. 55E Ch. 2.2 - Prob. 56E Ch. 2.2 - Prob. 57E Ch. 2.2 - Prob. 58E Ch. 2.2 - Prob. 59E Ch. 2.2 - Prob. 60E Ch. 2.2 - Prob. 61E Ch. 2.2 - Prob. 62E Ch. 2.2 - Prob. 63E Ch. 2.2 - Prob. 64E Ch. 2.2 - Prob. 65E Ch. 2.2 - Prob. 66E Ch. 2.2 - Prob. 67E Ch. 2.2 - Light Beer Sales Data from the Wall Street Journal...Ch. 2.2 - Light Beer Sales Data from the Wall Street Journal...Ch. 2.2 - Light Beer Sales Data from the Wall Street Journal...Ch. 2.2 - Global Malaria Cases Data from the Wall Street...Ch. 2.2 - Prob. 72E Ch. 2.2 - Global Malaria Cases Data from the Wall Street...Ch. 2.2 - Prob. 74E Ch. 2.2 - Prob. 75E Ch. 2.2 - Prob. 76E Ch. 2.2 - Luxury Handbags Michael Kors now dominates the...Ch. 2.2 - Cocoa Production In 2005, global cocoa bean...Ch. 2.2 - Prob. 79E Ch. 2.2 - Employee Health Costs In the year 2010, the...Ch. 2.3 - Checkpoint 1 Full-Time Faculty Members The number...Ch. 2.3 - Prob. 2CP Ch. 2.3 - Prob. 3CP Ch. 2.3 - Prob. 4CP Ch. 2.3 - Checkpoint 5 Using only the data from 2010 and...Ch. 2.3 - Temperature The following table shows equivalent...Ch. 2.3 - Prob. 2E Ch. 2.3 - Prob. 3E Ch. 2.3 - Prob. 4E Ch. 2.3 - Prob. 5E Ch. 2.3 - Prob. 6E Ch. 2.3 - Prob. 7E Ch. 2.3 - Prob. 8E Ch. 2.3 - In each of the next set of problems, assume that...Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - In each of the next two problems, two linear...Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - In Exercises 15-18 find the required linear model...Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Street and Highway Construction The total amount...Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Life Expectancy The following table shows mens and...Ch. 2.4 - a First multiply both sides of -6-1 by 4, and then...Ch. 2.4 - Prob. 2CP Ch. 2.4 - Solve these inequalities. Graph each solution. a...Ch. 2.4 - Prob. 4CP Ch. 2.4 - Prob. 5CP Ch. 2.4 - Prob. 6CP Ch. 2.4 - Prob. 7CP Ch. 2.4 - Prob. 8CP Ch. 2.4 - Prob. 9CP Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - Prob. 12E Ch. 2.4 - Solve each inequality and graph each solution. See...Ch. 2.4 - Prob. 14E Ch. 2.4 - Solve each inequality and graph each solution. See...Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Solve each inequality and graph each solution. See...Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - Prob. 24E Ch. 2.4 - Prob. 25E Ch. 2.4 - Prob. 26E Ch. 2.4 - Prob. 27E Ch. 2.4 - Prob. 28E Ch. 2.4 - Solve each inequality and graph each solution. See...Ch. 2.4 - Prob. 30E Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.4 - Prob. 34E Ch. 2.4 - Prob. 35E Ch. 2.4 - Prob. 36E Ch. 2.4 - Prob. 37E Ch. 2.4 - Prob. 38E Ch. 2.4 - Prob. 39E Ch. 2.4 - Prob. 40E Ch. 2.4 - Prob. 41E Ch. 2.4 - Prob. 42E Ch. 2.4 - Prob. 43E Ch. 2.4 - Prob. 44E Ch. 2.4 - Prob. 45E Ch. 2.4 - Solve each inequality. Graph each solution. See...Ch. 2.4 - Prob. 47E Ch. 2.4 - Prob. 48E Ch. 2.4 - Temperature The given inequality describes the...Ch. 2.4 - Prob. 50E Ch. 2.4 - Prob. 51E Ch. 2.4 - Prob. 52E Ch. 2.4 - Prob. 53E Ch. 2.4 - Social Science A Gallup poll in January 2017 found...Ch. 2.4 - Prob. 55E Ch. 2.4 - Prob. 56E Ch. 2.5 - Solve each inequality. Graph the solution on the...Ch. 2.5 - Prob. 2CP Ch. 2.5 - Prob. 3CP Ch. 2.5 - Prob. 4CP Ch. 2.5 - Solve each inequality. a 3x-24 b p1-p3 c Why is 2...Ch. 2.5 - Prob. 6CP Ch. 2.5 - Prob. 7CP Ch. 2.5 - Prob. 1E Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Solve each of these quadratic inequalities. Graph...Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Solve each of these quadratic inequalities. Graph...Ch. 2.5 - Prob. 8E Ch. 2.5 - Prob. 9E Ch. 2.5 - Prob. 10E Ch. 2.5 - Prob. 11E Ch. 2.5 - Prob. 12E Ch. 2.5 - Prob. 13E Ch. 2.5 - Solve these inequalities. See Example 4. p3-25p0 Ch. 2.5 - Prob. 15E Ch. 2.5 - Prob. 16E Ch. 2.5 - Prob. 17E Ch. 2.5 - Prob. 18E Ch. 2.5 - Solve these inequalities. See Example 4. 6k3-5k24k Ch. 2.5 - Prob. 20E Ch. 2.5 - Prob. 21E Ch. 2.5 - Prob. 22E Ch. 2.5 - Prob. 23E Ch. 2.5 - Prob. 24E Ch. 2.5 - Prob. 25E Ch. 2.5 - Prob. 26E Ch. 2.5 - Prob. 27E Ch. 2.5 - Prob. 28E Ch. 2.5 - Prob. 29E Ch. 2.5 - Prob. 30E Ch. 2.5 - Prob. 31E Ch. 2.5 - Solve these rational inequalities. See Examples 7...Ch. 2.5 - Prob. 33E Ch. 2.5 - Prob. 34E Ch. 2.5 - Prob. 35E Ch. 2.5 - Prob. 36E Ch. 2.5 - Prob. 37E Ch. 2.5 - Prob. 38E Ch. 2.5 - Use a graphing calculator to solve these...Ch. 2.5 - Use a graphing calculator to solve these...Ch. 2.5 - Profit An analyst has found that her companys...Ch. 2.5 - Prob. 42E Ch. 2.5 - Prob. 43E Ch. 2.5 - Prob. 44E Ch. 2.CR - Prob. 1CR Ch. 2.CR - Prob. 2CR Ch. 2.CR - Sketch the graph of each equation. 5x3y=15 Ch. 2.CR - Prob. 4CR Ch. 2.CR - Sketch the graph of each equation. y+3=0 Ch. 2.CR - Prob. 6CR Ch. 2.CR - Prob. 7CR Ch. 2.CR - Prob. 8CR Ch. 2.CR - Prob. 9CR Ch. 2.CR - Prob. 10CR Ch. 2.CR - Prob. 11CR Ch. 2.CR - Prob. 12CR Ch. 2.CR - Prob. 13CR Ch. 2.CR - Prob. 14CR Ch. 2.CR - Prob. 15CR Ch. 2.CR - Prob. 16CR Ch. 2.CR - Prob. 17CR Ch. 2.CR - Prob. 18CR Ch. 2.CR - Prob. 19CR Ch. 2.CR - Prob. 20CR Ch. 2.CR - Prob. 21CR Ch. 2.CR - Prob. 22CR Ch. 2.CR - Prob. 23CR Ch. 2.CR - Prob. 24CR Ch. 2.CR - Prob. 25CR Ch. 2.CR - Prob. 26CR Ch. 2.CR - Prob. 27CR Ch. 2.CR - Prob. 28CR Ch. 2.CR - Prob. 29CR Ch. 2.CR - Prob. 30CR Ch. 2.CR - Prob. 31CR Ch. 2.CR - Prob. 32CR Ch. 2.CR - Prob. 33CR Ch. 2.CR - Prob. 34CR Ch. 2.CR - Prob. 35CR Ch. 2.CR - Prob. 36CR Ch. 2.CR - Two-Year School Tuition The following table shows...Ch. 2.CR - Four-Year School Tuition The following table shows...Ch. 2.CR - Prob. 39CR Ch. 2.CR - Prob. 40CR Ch. 2.CR - Prob. 41CR Ch. 2.CR - Prob. 42CR Ch. 2.CR - Prob. 43CR Ch. 2.CR - Prob. 44CR Ch. 2.CR - Prob. 45CR Ch. 2.CR - Prob. 46CR Ch. 2.CR - Prob. 47CR Ch. 2.CR - Prob. 48CR Ch. 2.CR - Prob. 49CR Ch. 2.CR - Prob. 50CR Ch. 2.CR - Prob. 51CR Ch. 2.CR - Prob. 52CR Ch. 2.CR - Prob. 53CR Ch. 2.CR - Prob. 54CR Ch. 2.CR - Prob. 55CR Ch. 2.CR - Prob. 56CR Ch. 2.CR - Prob. 57CR Ch. 2.CR - Prob. 58CR Ch. 2.CR - Prob. 59CR Ch. 2.CR - Prob. 60CR Ch. 2.CR - Prob. 61CR Ch. 2.CR - Prob. 62CR Ch. 2.CR - Prob. 63CR Ch. 2.CR - Prob. 64CR Ch. 2.CR - Prob. 65CR Ch. 2.CR - Prob. 66CR

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

Does Table 2 represent a linear function? If so, finda linear equation that models the data.
If you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning

Text book image

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:9781133382119

Author:Swokowski

Publisher:Cengage

Text book image

Glencoe Algebra 1, Student Edition, 9780079039897...

Algebra

ISBN:9780079039897

Author:Carter

Publisher:McGraw Hill

Text book image

College Algebra

Algebra

ISBN:9781938168383

Author:Jay Abramson

Publisher:OpenStax

Text book image

College Algebra

Algebra

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:Cengage Learning

Text book image

Functions and Change: A Modeling Approach to Coll...

Algebra

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY

Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY

Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY