With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.000243 - 0.026e? + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1980 and 2005 ) million per year .728 (b) 2015 and 2025 1.41 X million per year

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social
Security beneficiaries (in millions) can be modeled by
B(t) = 0.000243 - 0.026e? + 1.6t + 2.2
where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year
(actual and predicted) between the following years. (Round your answers to three decimal places.)
(a) 1980 and 2005
x million per year
.728
(b) 2015 and 2025
1.41
1x million per year
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Transcribed Image Text:With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.000243 - 0.026e? + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1980 and 2005 x million per year .728 (b) 2015 and 2025 1.41 1x million per year Need Help? Read It
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