12th Edition

ISBN: 9780357865095

Author: HARSHBARGER

Publisher: CENGAGE L

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Textbook Question

Chapter 9.6, Problem 53E

Gross domestic product The table shows U.S. gross domestic product (GDP) in billions of dollars for selected years from 2000 to 2070 (actual and projected).

Year	GDP	Year	GDP
2000	9143	2040	79,680
2005	12,145	2045	103,444
2010	16,174	2050	133,925
2015	21,270	2055	173,175
2020	27,683	2060	224,044
2025	35,919	2065	290,042
2030	46,765	2070	375,219
2035	61,100

Source: Social Security Administration Trustees Report

Assume that the GDP can be modeled with the function

G ( t ) = 213 ( 0.2 t + 5 ) 3 − 5020 ( 0.2 t + 5 ) 2 + 8810 t + 104 , 000 where G(t) is in billions of dollars and t is the number of years past 2000.

(a) Use the model to find and interpret the instantaneous rates of change of the GDP in 2015 and 2025.

(b) Use the data in the table to find the average rate of change of the GDP from 2015 to 2025.

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Chapter 9.6, Problem 52E

Chapter 9.6, Problem 54E

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Solution Summary: The author calculates the instantaneous rate of change of the U.S. gross domestic product (GDP) in 2015 and 2025.

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