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

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

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step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: