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.

t A(t) t A(t) 1950 23.0 1985 25.5 1955 23.8 1990 25.9 1960 24.4 1995 26.3 1965 24.5 2000 27.0 1970 24.2 2005 28.0 1975 24.7 2010 28.8 1980 25.2 2015 29.4


(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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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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