The table shows how the average age of first marriage of Japanese women has varied since 1950.

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The table shows how the average age of first marriage of Japanese women has varied since 1950.

A(t) A(t) 23.0 1950 1985 25.5 1955 23.8 1990 25.9 1960 24.4 1995 26.3 1965 24.5 2000 27.0 2005 1970 24.2 28.0 28.8 1975

(a) Use a graphing calculator or computer to model these data with a fourth-degree polynomial.
(b) Use part (a) to find a model for A'(t).
(c) Estimate the rate of change of marriage age for women in 1990.
(d) Graph the data points and the models for A and A'.

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