The table gives the number of millions of Social Security beneficiaries (actual and projected) for selected years
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With B(t) representing the number of beneficiaries (in millions) t years past 1950, these data can be modeled by the function
B(t) = (0.01t + 3) (0.0238t2 - 9.79t + 3100) - 9290
(a) Find the function that gives the instantaneous rate of change of the number of beneficiaries.
(b) Find and interpret the instantaneous rate of change in 2020.
(c) Use the data to determine which of the average rates of change (from 2010 to 2020, from 2020 to 2030, or from 2010 to 2030) best approximates the instantaneous rate from part (b).
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a Bt 001t 3 00476t 979 001 00238t 2 979 3100 00004...View the full answer
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Related Book For 
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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