The table shows how the average age of first marriage of Japanese women has varied since 1950.
t  A(t)  
1955 1965 
23.0 23.8 

1960  24.4  
1965  24.5  
1970  24.2  
1975  24.7  
1980  25.2  
1985  25.5  
1990  25.9  
1995  26.3  
2000  27.0  
2005  28.0  
2010  28.8 
(a) Use a graphing calculator or computer to model these data with a fourthdegree 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′.
Part (a)
To use: a graphing calculator to model these data with a fourthdegree polynomial.
Enter all data in to calculator using “Stat”EDIT...
Part (b)
To find: model for
Part (c)
To estimate: the rate of change of marriage age for women in 1990.
Part (d)
To graph: the data points and the models for A and A’.
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