Modeling Data For the years U)M( I through 1VM7. the averagesize S (in thousands of

Chapter 7, Problem 76

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Modeling Data For the years U)M( I through 1VM7. the averagesize S (in thousands of dollars) of ordinary life insurancepolicies in force in the United States is given in the table.(Source: American Cinuicil of Life Insurance)A model for these data is5 = s'' 1520.4 -I- 111.2f -I- 15.8/where / is the time in \ears. with / = coiTcsponding to 1990.flse a graphing utility to answer each of the following.(a) Graph the model for < / < 7.(bl Find the rate ol increase in .V when t = 5.(c) Use the model and integration to predict the average valueof S for the years 2000 through 2002.

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