Modi'linii Data The table shows the total receipts R and total expenditures E for the

Chapter 6, Problem 73

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Modi'linii Data The table shows the total receipts R and total expenditures E for the Old-Age and Survivors Insurance TrustFund (Social Security Trust Fund) in hillions of dollars. The time / is given in years, with / = 1 corresponding to 1941.(Sdurcf: SiicidI Security Adnuiiistration)(a) Use a graphing utility to fit an exponential model to thedata lor receipts. Plot the data and graph the model.(b) Use a graphnig iililit\ to 111 an cvponotlial model to thedata lor expenditures. Plot the data and graph the model.(c) If the models are assumed true for the years 2000 through2005, use Integration to approxinialc the smpltrs revenuegenerated diuing those years(dl Will the models found ni parts (a) and (hi uitersecf.'Explain. Based on your answer and news reports about thefund, will these models be accurate for long-term analysis'.'

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