Explanation Given: Initial Population at time, t = 0 , is given by A 0 = 3.5 million. Population at time, t , is given by A = 4.5 million. Growth Rate is given by r = 1.5 % per year. Formula used: For any positive real numbers M , any real number p, and any positive base b ≠ 1 , log b M p = p log b M Amount of something that increases exponentially is given by, A = A 0 e r t , where t is the time, A 0 is the initial amount of something at t = 0 , A is the amount at any time t. Calculation: Consider the expression, A = A 0 e r t Substitute 4.5 for A, 3.5 for A 0 and 1.5% for r : 4.5 = 3.5 e 1.5 100 t 1

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 11.5, Problem 52E

To determine

To calculate: The time it would have taken for the workforce to increase to 4.5 million when initial population was about 3.5 million and at a growth rate was 1.5% per year.

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Chapter 11.5, Problem 51E

Chapter 11.5, Problem 53E

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Chapter 11 Solutions

Intermediate Algebra (8th Edition)

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The time it would have taken for the workforce to increase to 4.5 million when initial population was about 3.5 million and at a growth rate was 1.5% per year.

Solution Summary: The author calculates the time it would have taken for the workforce to increase to 4.5 million when initial population was about 3.5 million and at a growth rate of 1.5% per year.

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To calculate: The time it would have taken for the workforce to increase to 4.5 million when initial population was about 3.5 million and at a growth rate was 1.5% per year.

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Chapter 11 Solutions