the following table of data from a bureau of the census gives the median age of a man at the time of his…

the following table of data from a bureau of the census gives the median age of a man at the time of his first marriage.\n| year | 1910 | 1920 | 1930 | 1940 | 1950 | 1960 | 1970 | 1980 | 1990 | 2000 | 2010 |\n| median age | 25.5 | 24.8 | 24.1 | 24.1 | 22.4 | 22.4 | 23.6 | 24.9 | 26.3 | 26.7 | 27.6 |\n a. determine the average rate of change in median age per year from 1950 to 2010.\n b. describe what the average rate of change in part a represents in this situation.\n a. the average rate of change in median age per year from 1950 to 2010 is approximately years of age/yr. (type an integer or a decimal. round to four decimal places as needed.)

the following table of data from a bureau of the census gives the median age of a man at the time of his first marriage.\n| year | 1910 | 1920 | 1930 | 1940 | 1950 | 1960 | 1970 | 1980 | 1990 | 2000 | 2010 |\n| median age | 25.5 | 24.8 | 24.1 | 24.1 | 22.4 | 22.4 | 23.6 | 24.9 | 26.3 | 26.7 | 27.6 |\n a. determine the average rate of change in median age per year from 1950 to 2010.\n b. describe what the average rate of change in part a represents in this situation.\n a. the average rate of change in median age per year from 1950 to 2010 is approximately years of age/yr. (type an integer or a decimal. round to four decimal places as needed.)

Answer

Explanation:

Step1: Identify the years and median ages

In 1950, the median age $y_1 = 22.4$ and the year $x_1=1950$. In 2010, the median age $y_2 = 27.6$ and the year $x_2 = 2010$.

Step2: Use the average - rate - of - change formula

The formula for the average rate of change is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $\frac{27.6-22.4}{2010 - 1950}=\frac{5.2}{60}\approx0.0867$.

Answer:

$0.0867$