The Social Security Administration uses a linear growth model to estimate life expectancy in the United States. The model uses the explicit formula L N = 66.17 + 0.96 N where L N is the life expectancy of a person born in the year 1995 + N (i.e., N = 0 corresponds to 1995 as the year of birth N = 1 corresponds to 1996 as the year of birth, and so on). (Source: Social Security Administration, wwwsocialsecurity.fov.) a. Assuming the model continues to work indefinitely, estimate the life expectancy of a person born in 2012. b. Assuming the model continues to work indefinitely, what year will you have to be born so that your life expectancy is 90?
The Social Security Administration uses a linear growth model to estimate life expectancy in the United States. The model uses the explicit formula L N = 66.17 + 0.96 N where L N is the life expectancy of a person born in the year 1995 + N (i.e., N = 0 corresponds to 1995 as the year of birth N = 1 corresponds to 1996 as the year of birth, and so on). (Source: Social Security Administration, wwwsocialsecurity.fov.) a. Assuming the model continues to work indefinitely, estimate the life expectancy of a person born in 2012. b. Assuming the model continues to work indefinitely, what year will you have to be born so that your life expectancy is 90?
Solution Summary: The author calculates that the life expectancy of a person born in 2012 will be 82.49 assuming the model continuous to work.
The Social Security Administration uses a linear growth model to estimate life expectancy in the United States. The model uses the explicit formula
L
N
=
66.17
+
0.96
N
where
L
N
is the life expectancy of a person born in the year
1995
+
N
(i.e.,
N
=
0
corresponds to 1995 as the year of birth
N
=
1
corresponds to 1996 as the year of birth, and so on). (Source: Social Security Administration, wwwsocialsecurity.fov.)
a. Assuming the model continues to work indefinitely, estimate the life expectancy of a person born in 2012.
b. Assuming the model continues to work indefinitely, what year will you have to be born so that your life expectancy is 90?
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