Explanation Given information: The number of people require to remove the trash from one grandstand in 8 hr are 30 people initially but now the number of peoples are 25. Formula used: Inverse Variation: A situation translated to an equation with a positive constant k , expressed in the below form is said as inverse variation. y = k x This equation is known as inverse variation equation, where y varies inversely as x . Variation constant or the constant of proportionality, k , would be determined when one pair of the values of x and y are known, and this further would determine the other pairs. Steps to solve the applications of inverse variation: Step: 1 Identify the inverse variation between the variables, x and y . Step: 2 translate the expression into inverse variation equation of the form, y = k x where k is constant. Step: 3 determine the value of constant, k and with the help of this, determine the desired value of y . Step: 4 perform the check for the calculation by comparison and providing reasons regarding the answer. Step: 5 conclude the answer by providing final statement. Calculation: Consider 30 people takes approximately 8 hr to remove the trash from one grandstand. When more people are working on same job, the job would be completed in less time, thus, the inverse variation equation will be formed considering variables for time, T in hours and number of people, N . T = k N Thus, with the decrease of one variable, the other variable will increase and vice versa in inverse variation equation. This implies that with the increase in number of people, there will be decrease in time taken to complete job. Thus, time T varies inversely as the number of people N as, T = k N Where k is any constant

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.9, Problem 7DE

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To calculate: The time taken by 25 people to do a job, when the day after the Indianapolis 500 race, the local organisation are assigned the task of cleaning up the grandstands and it takes approximately 8 hr for 30 people to remove the trash from one grandstand.

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Chapter 12.9, Problem 6DE

Chapter 12.9, Problem 8DE

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The time taken by 25 people to do a job, when the day after the Indianapolis 500 race, the local organisation are assigned the task of cleaning up the grandstands and it takes approximately 8 hr for 30 people to remove the trash from one grandstand.

Solution Summary: The author calculates the time taken by 25 people to do a job after the Indianapolis 500 race.

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To calculate: The time taken by 25 people to do a job, when the day after the Indianapolis 500 race, the local organisation are assigned the task of cleaning up the grandstands and it takes approximately 8 hr for 30 people to remove the trash from one grandstand.

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Chapter 12 Solutions