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

determine the average rate of change in median age per year from 1950 to 1990.

a. 0.0825 years of age per year
b. 0.825 years of age per year
c. 1.21 years of age per year
d. 1.21 years of age per year

please select the best answer from the choices provided

Explanation:

Step1: Identify values for 1950 and 1990

In 1950, median age ($y_1$) = 22.8; year ($x_1$) = 1950.
In 1990, median age ($y_2$) = 26.1; year ($x_2$) = 1990.

Step2: Calculate change in age and years

Change in age: $\Delta y = y_2 - y_1 = 26.1 - 22.8 = 3.3$
Change in years: $\Delta x = x_2 - x_1 = 1990 - 1950 = 40$

Step3: Compute average rate of change

Average rate of change = $\frac{\Delta y}{\Delta x} = \frac{3.3}{40} = 0.0825$

Answer:

a. 0.0825 years of age per year