16
QuizMultiple Choice

Average Rate of Change

Question 16 • 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 the average rate of change in median age per year from 1930 to 1960.

Answer
A
-0.5 years of age per year
B
20 years of age per year
C
-0.05 years of age per year
D
+0.05 years of age per year

Explanation

From 1930 to 1960, the median age changed from 24.3 to 22.8 years, a decrease of 1.5 years over 30 years. The average rate of change is (22.8 − 24.3) ÷ (1960 − 1930) = −1.5 ÷ 30 = −0.05 years per year. The correct choice is −0.05 years of age per year.

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