53. Life expectancy Suppose the rate of change of the expected life span / at birth of people born in the United States can be modeled by dl 14.304 %3D dt t + 20 where t is the number of years past 1920. Life Span (years) Life Span Year Year (years) 1920 54.1 1994 75.7 1930 59.7 1996 76.1 1940 62.9 1998 76.7 1950 68.2 2000 76.9 1960 69.7 2001 77.2 1970 70.8 2003 77.5 1975 72.6 2005 77.9 1980 73.7 2010 78.1 1985 74.7 2015 78.9 1990 75.4 2020 79.5 1992 75.5 Source: National Center for Health Statistics (a) Use integration and the data point for 2000 to find the function that models the life span. (b) The data in the table give the expected life. for people born in various years. Graph the function from part (a) with the data, with t = 0 spans %3D representing 1920. (c) How well does the model fit the data?

53. Life expectancy Suppose the rate of change of the expected life span / at birth of people born in the United States can be modeled by dl 14.304 %3D dt t + 20 where t is the number of years past 1920. Life Span (years) Life Span Year Year (years) 1920 54.1 1994 75.7 1930 59.7 1996 76.1 1940 62.9 1998 76.7 1950 68.2 2000 76.9 1960 69.7 2001 77.2 1970 70.8 2003 77.5 1975 72.6 2005 77.9 1980 73.7 2010 78.1 1985 74.7 2015 78.9 1990 75.4 2020 79.5 1992 75.5 Source: National Center for Health Statistics (a) Use integration and the data point for 2000 to find the function that models the life span. (b) The data in the table give the expected life. for people born in various years. Graph the function from part (a) with the data, with t = 0 spans %3D representing 1920. (c) How well does the model fit the data?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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