Question: 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

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'.

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

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

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