The rate of increase of the number of working married couples M (in millions) in the United States from 2008 through 2014 can be modeled by dM = 0.0918t2 − 1.988t + 10.28 dt where t is the time in years, with t = 8 corresponding to 2008. The number of working married couples in 2014 was 31.7 million. (Source: U.S. Census Bureau) (a) Find the model for the number of working married couples in the United States. (b) Use the model to predict the number of working married couples in the United States in 2019. Does your answer seem reasonable? Explain your reasoning

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
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The rate of increase of the number of working married couples M (in millions) in the United States from 2008 through 2014 can be modeled by
dM = 0.0918t2 − 1.988t + 10.28 dt
where t is the time in years, with t = 8 corresponding to 2008. The number of working married couples in 2014 was 31.7 million. (Source: U.S. Census Bureau)
(a) Find the model for the number of working married couples in the United States.
(b) Use the model to predict the number of working married couples in the United States in 2019. Does your answer seem reasonable? Explain your reasoning

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