Explanation Given: The Gross Domestic Product (GDP) of the United States is, G ( t ) = 12.492 ( 1.029 ) t ... ( 1 ) The Gross Domestic Product (GDP) of China is, C ( t ) = 8.2 ( 1.06 ) t … ( 2 ) Here, both G and C are in trillions of dollars and t is in years since 2005. Approach: A function N = N ( t ) is exponential with base a if N changes in constant multiples of a ; that is, if t is increased by 1 , the new value of N is given by multiplying by a . The formula for exponential growth function is given as, N = P a t . Here, a is the growth factor and P is the initial value To determine (b) To find: The year when the GDP of China overtakes the GDP of United States.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Chapter 4.4, Problem 28E

To determine

(a)

To Compare:

The percentage growth rates for the GDP of the United States and China.

To determine

(b)

To find:

The year when the GDP of China overtakes the GDP of United States.

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Chapter 4.4, Problem 27E

Chapter 4.4, Problem 1SBE

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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(a) To Compare: The percentage growth rates for the GDP of the United States and China.

Solution Summary: The author compares the percentage growth rates for the GDP of the United States and China. The formula for exponential growth function is given as N=Pat.