Explanation Given information: The population of the world reached 1 billions in 1804 , 2 billion in 1927 , 3 billions in 1960 , 4 billions in 1974 , 5 billions in 1987 and 6 billions in 1999 . Concept used: If y is a function of t , so y = f ( t ) , then the average rate of change of y between t = a and t = b is Δ y Δ t = f ( b ) − f ( a ) b − a and unit of average rate of change of a function are unit of y per unit of t . Calculation: Now, we have to calculate the average rate of change of the population of the world during interval from 1804 to 1927 . [ Average rate of change of the population of the world from 1804 to 1927 ] = Change in population of the world Change in time = f ( 1927 ) − f ( 1804 ) 1927 − 1804 = 2 − 1 123 = 1 123 = 0.0081 Therefore, the average rate of change of the population of the world during interval from 1804 to 1927 is 0.0081 billion per year. Now, we have to calculate the average rate of change of the population of the world during interval from 1927 to 1960 . [ Average rate of change of the population of the world from 1927 to 1960 ] = Change in population of the world Change in time = f ( 1960 ) − f ( 1927 ) 1960 − 1927 = 3 − 2 33 = 1 33 = 0.0303 Therefore, the average rate of change of the population of the world during interval from 1927 to 1960 is 0.0303 billion per year. Now, we have to calculate the average rate of change of the population of the world during interval from 1960 to 1974

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Exponential Growth Model

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Chapter 1.3, Problem 35P

To determine

To calculate:

The average rate of change of the population of the world during each interval from 1804 to 1927,

1927 to 1960, 1960 to 1974, 1974 to 1987 and 1987 to 1999.

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Chapter 1.3, Problem 34P

Chapter 1.3, Problem 36P

Chapter 1 Solutions

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The average rate of change of the population of the world during each interval from 1804 to 1927 , 1927 to 1960 , 1960 to 1974 , 1974 to 1987 and 1987 to 1999 .

Solution Summary: The author calculates the average rate of change of the world's population during each interval from 1804to 1927 to 1927.

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To calculate:

The average rate of change of the population of the world during each interval from 1804 to 1927,

1927 to 1960, 1960 to 1974, 1974 to 1987 and 1987 to 1999.

Want to see the full answer?

Chapter 1 Solutions

The average rate of change of the population of the world during each interval from 1804 to 1927 , 1927 to 1960 , 1960 to 1974 , 1974 to 1987 and 1987 to 1999 .

Solution Summary: The author calculates the average rate of change of the world's population during each interval from 1804to 1927 to 1927.

Concept explainers

Videos

To calculate: The average rate of change of the population of the world during each interval from 1804 to 1927, 1927 to 1960, 1960 to 1974, 1974 to 1987 and 1987 to 1999.

Want to see the full answer?

Chapter 1 Solutions

To calculate:

The average rate of change of the population of the world during each interval from 1804 to 1927,

1927 to 1960, 1960 to 1974, 1974 to 1987 and 1987 to 1999.