2
QuizMultiple Choice

Average Rate of Change

Question 2 • Applications and Modeling

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8What does a rate of change of zero mean in this situation?

Answer
A
The median age of a man at the time of his first marriage is, on the average, constant.
B
The median age of a man at the time of his first marriage is, on the average, decreasing.
C
The median age of a man at the time of his first marriage is, on the average, increasing.
D
The rate of change cannot be zero in this situation.

Explanation

A rate of change of zero means the measured quantity is not changing over time. Here, that means the median age of a man at his first marriage is, on average, constant. The data do vary across the years, but the question asks what a zero rate of change means, not whether the data actually have that rate.

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