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Consider the United States census data from Section 1.1 of the text. Take t to be time in years, with origin 1790 (as in the text and in class). Model this population by an equation P(t) = P0ekt where the actual values at t = 10 and t = 20 are used to determine P0 and k. Express your answer also in the form P(t) = Q0ek1(t−10) (P0, Q0, k, k1 should be given as decimals.) Compare the value P (80) given by this formula with the actual value at t = 80 and the value given by the model in the text.
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