The table shows how the average age of first marriage of Japanese women varied in the last half of the 20th century.

(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() A() 1950 23.0 1975 24.7 1955 23.8 1980 25.2 1960 24.4 1985 25,5 1965 24.5 1990 25.9 1970 24.2 1995 26.3