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The accompanying table gives the number of states, s, associated with the national P.T.A. organization from 1895 through 1931. Total Number of States Affiliated with the National Parent Teacher Association Year States Year States 1895 1 1915 30 1899 3 1919 38 1903 7 1923 43 1907 15 1927 47 1911 23 1931 48 (a) Write the function of the logistic model that gives the total number of states affilated with the national P.T.A. organization where t is the number years since 1890, with data from 5 S t S 41. (Round all numerical values to three decimal places.) s (t ) = (b) There were only 48 states in 1931. How does this number compare to the limiting value given by the model in part (a)? (Round your numerical answer to three decimal places.) The limiting value is , which ---Select- the possible limit in context, 48 states. ---Select--- Need Help? Read It underestimates overestimates