Modeling Data The table shows the total receipts and total expenditures for the Old-Age
Chapter 7, Problem 83(choose chapter or problem)
Modeling Data The table shows the total receipts and total expenditures for the Old-Age and Survivors Insurance Trust Fund (Social Security Trust Fund) in billions of dollars. The time is given in years, with corresponding to 1991. (Source: Social Security Administration) (a) Use a graphing utility to fit an exponential model to the data for receipts. Plot the data and graph the model. (b) Use a graphing utility to fit an exponential model to the data for expenditures. Plot the data and graph the model. (c) If the models are assumed to be true for the years 2002 through 2007, use integration to approximate the surplus revenue generated during those years. (d) Will the models found in parts (a) and (b) intersect? Explain. Based on your answer and news reports about the fund, will these models be accurate for long-term analysis? 2x
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