   Chapter 2.7, Problem 26E

Chapter
Section
Textbook Problem

# The table shows how the average age of first marriage of Japanese women has varied since 1950. t A(t) 19551965 23.023.8 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 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′.

To determine

Part (a)

To use: a graphing calculator to model these data with a fourth-degree polynomial.

Explanation

Enter all data in to calculator using “Stat”-EDIT...

To determine

Part (b)

To find: model for A'(t).

To determine

Part (c)

To estimate: the rate of change of marriage age for women in 1990.

To determine

Part (d)

To graph: the data points and the models for A and A’.

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