Let P(t) be the percentage of Americans under the age of 18 at time t. The table

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Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2010.

P(t) P(t) 1990 1950 1960 1970 31.1 25.7 35.7 2000 25.7 34.0 2010 24.0 1980 28.0

(a) What is the meaning of P'(t)? What are its units?
(b) Construct a table of estimated values for P'(t).
(c) Graph P and P'.
(d) How would it be possible to get more accurate values for P'(t)?

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