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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 YearStatesYearStates 18951191530 18993191938 19037192343 190715192747 191123193148 (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 ≤ t ≤ 41. (Round all numerical values to three decimal places.) s(t) = Incorrect: Your answer is incorrect. (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 48 Incorrect: Your answer is incorrect. , which overestimates Correct: Your answer is correct. the possible limit in context, 48 states.

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