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) = 0.00024t3 - 0.026t2 + 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 2002 million per year (b) 2015 and 2024 million per year

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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) = 0.00024t3 – 0.026t2 + 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 2002
million per year
(b)
2015 and 2024
million per year
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) = 0.00024t3 – 0.026t2 + 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 2002 million per year (b) 2015 and 2024 million per year
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