Question

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.

Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8

Is the average rate of change zero over any ten-year period? If so, when?
a.
Yes, 1930 - 1940
b.
Yes, 1950 - 1960
c.
Yes, both 1930 - 1940 and 1950 - 1960
d.
No

Answer 1

Answer: yes, there is no or zero rate of average change in the 1950 - 1960 ten-year period

Step-by-step explanation:

Answer 2

The average rate of change is zero in the period between 1950 and 1960. The correct option is B.

What is the average rate of change?

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

Given that 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.

Calculate the rate of change from 1950 to 1960.

The average rate of change = [ f(a) - f(b) ] / [ a - b ]

The average rate of change = ( 22.8 - 22.8 ) / 10 = 0

Therefore, the average rate of change is zero in the period between 1950 and 1960. The correct option is B.

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