5
QuizMultiple Choice

Average Rate of Change

Question 5 • 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 Age25.124.624.324.322.822.823.224.726.126.8Determine a ten-year period when the average rate of change is negative.

Answer
A
1910 - 1920
B
1920 - 1930
C
1940 - 1950
D
All of the above

Explanation

A period has a negative average rate of change when the median age decreases from its first year to its last. It falls from 25.1 to 24.6 in 1910–1920, from 24.6 to 24.3 in 1920–1930, and from 24.3 to 22.8 in 1940–1950. Therefore, all of the listed periods have a negative average rate of change.

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