AnswersEF Math 12 1st Nine WeeksCumulative Exam — Cumulative examQuestion 22
22
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 22 • EF Math 12 1st Nine Weeks

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 1950 to 1990. Describe what the average rate of change represents in this situation.

Answer
A
The median age of a man at the time of his first marriage is decreasing at an average rate of 0.0825 years of age per year.
B
The median age of a man at the time of his first marriage is increasing at an average rate of 0.0825 years of age per year.
C
The median age of a man at the time of his first marriage is decreasing at an average rate of 0.825 years of age per year.
D
The median age of a man at the time of his first marriage is increasing at an average rate of 0.825 years of age per year.

Explanation

From 1950 to 1990, the median age increased from 22.8 to 26.1 years, a change of 26.1 − 22.8 = 3.3 years over 40 years. The average rate of change is 3.3 ÷ 40 = 0.0825 years of age per year. This means the median age at first marriage increased by an average of 0.0825 years each year during that period, matching choice b.

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