The graph shows a model for the number of millions of Social Security beneficiaries projected to 2030. The model was developed with data from the Social Security Trustees Report.
(a) Was the instantaneous rate of change of the number of beneficiaries with respect to the year greater in 1960 or in 1980? Justify your answer.
(b) Is the instantaneous rate of change of the number of beneficiaries projected to be greater in 2000 or in 2030? Justify your answer.

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80- 40 1990 2010 2030 Year Millions of Beneficiaries