Explanation Given: Initial Population of world at time, t = 0 , is A 0 = 6 billion. Population of world at time, t , is A = 9 billion. Growth Rate is given by r = 1.3 % 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: Substitute of 9 for A, 6 for A 0 and 1.3 % for r in the formula: A = A 0 e r t 9 = 6 e 1.3 100 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 43E

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To calculate: The time it would have taken for the population to increase to nine billion when initial population was about six billion and the growth rate was 1.3% per year.

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Chapter 11.5, Problem 42E

Chapter 11.5, Problem 44E

Chapter 11 Solutions

Intermediate Algebra (8th Edition)

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The time it would have taken for the population to increase to nine billion when initial population was about six billion and the growth rate was 1.3 % per year.

Solution Summary: The author calculates the time it would have taken for the population to increase to nine billion when initial population was about six billion and the growth rate was 1.3% per year.

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To calculate: The time it would have taken for the population to increase to nine billion when initial population was about six billion and the growth rate was 1.3% per year.

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Chapter 11 Solutions