The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c). Click to see the data table. a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is. y = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. ) b) Estimate the expected life span of a person born in the country in 1959 and a person born in 2009. The expected life span of a person born in the country in 1959 is (Type an integer or a decimal rounded to one decimal place as needed.) The expected life span of a person born in the country in 2009 is D. (Type an integer or a decimal rounded to one decimal place as needed.) c) Find an upper limit for a person's expected life span in the country, according to this model. | (Type an integer or a decimal rounded to one decimal place as needed.) Life Span (years) 72.8 Birth Life Span Birth (years) 53.1 Year Year 1920 1994 1930 57.9 1996 73.0 1940 62.0 1998 73.1 1950 65.3 1999 73.2 1960 67.8 2000 73.3 1970 69.8 2001 73.4 1975 70.6 2002 73.4 1980 71.3 2003 73.5 1987 72.2 2004 73.5 1988 72.3 2005 73.6 1989 72.4 2010 73.9 1990 72.5 2015 74.1 1992 72.6 2020 74.3
The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c). Click to see the data table. a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is. y = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. ) b) Estimate the expected life span of a person born in the country in 1959 and a person born in 2009. The expected life span of a person born in the country in 1959 is (Type an integer or a decimal rounded to one decimal place as needed.) The expected life span of a person born in the country in 2009 is D. (Type an integer or a decimal rounded to one decimal place as needed.) c) Find an upper limit for a person's expected life span in the country, according to this model. | (Type an integer or a decimal rounded to one decimal place as needed.) Life Span (years) 72.8 Birth Life Span Birth (years) 53.1 Year Year 1920 1994 1930 57.9 1996 73.0 1940 62.0 1998 73.1 1950 65.3 1999 73.2 1960 67.8 2000 73.3 1970 69.8 2001 73.4 1975 70.6 2002 73.4 1980 71.3 2003 73.5 1987 72.2 2004 73.5 1988 72.3 2005 73.6 1989 72.4 2010 73.9 1990 72.5 2015 74.1 1992 72.6 2020 74.3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 50E
Related questions
Question
![The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c).
| Click to see the data table.
a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is.
y =
1+
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. )
b) Estimate the expected life span of a person born in the country in 1959 and a person born in
2009.
The expected life span of a person born in the country in 1959 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
The expected life span of a person born in the country in 2009 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
c) Find an upper limit for a person's expected life span in the country, according to this model.
] (Type an integer or a decimal rounded to one decimal place as needed.)
Life Span
(years)
53.1
Life Span e
(years)
72.8
Birth
Birth
Year
Year
1920
1994
1930
57.9
1996
73.0
1940
62.0
1998
73.1
1950
65.3
1999
73.2
1960
67.8
2000
73.3
1970
69.8
2001
73.4
1975
70.6
2002
73.4
1980
71.3
2003
73.5
1987
72.2
2004
73.5
1988
72.3
2005
73.6
1989
72.4
2010
73.9
1990
72.5
2015
74.1
1992
72.6
2020
74.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f98e9ba-57ad-4e54-87fe-55e132738bc3%2Fb48315cd-297b-4f0d-a0f1-4754cf5627e6%2Fwgh0iqt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c).
| Click to see the data table.
a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is.
y =
1+
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. )
b) Estimate the expected life span of a person born in the country in 1959 and a person born in
2009.
The expected life span of a person born in the country in 1959 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
The expected life span of a person born in the country in 2009 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
c) Find an upper limit for a person's expected life span in the country, according to this model.
] (Type an integer or a decimal rounded to one decimal place as needed.)
Life Span
(years)
53.1
Life Span e
(years)
72.8
Birth
Birth
Year
Year
1920
1994
1930
57.9
1996
73.0
1940
62.0
1998
73.1
1950
65.3
1999
73.2
1960
67.8
2000
73.3
1970
69.8
2001
73.4
1975
70.6
2002
73.4
1980
71.3
2003
73.5
1987
72.2
2004
73.5
1988
72.3
2005
73.6
1989
72.4
2010
73.9
1990
72.5
2015
74.1
1992
72.6
2020
74.3
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