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

(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'.

Transcribed Image Text:

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 24.7 2010 25.2 1980