Vital Statistics 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 d M d t = 0.0918 t 2 β 1.988 t + 10.28 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.
Vital Statistics 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 d M d t = 0.0918 t 2 β 1.988 t + 10.28 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.
Solution Summary: The author calculates the rate of increase of the number of working married couples in the United States by using the sum rule of basic integration.
Vital Statistics 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
d
M
d
t
=
0.0918
t
2
−
1.988
t
+
10.28
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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