Question

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.

year	1910	1920	1930	1940	1950	1960	1970	1980	1990	2000	2010
median age	25.2	24.7	24.2	24.2	22.3	22.3	23.3	24.8	26.4	26.7	27.6

determine the average rate of change in median age per year from 1930 to 1960.
the average rate of change in median age per year from 1930 to 1960 is approximately (square) years of age/yr. (type an integer or a decimal. round to two decimal places as needed.)

Explanation:

Step1: Identify the initial and final values

The median age in 1930 ($x_1$) is 24.2 and the year is 1930 ($y_1$). The median age in 1960 ($x_2$) is 22.3 and the year is 1960 ($y_2$).

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

The formula for the average rate of change is $\frac{\Delta x}{\Delta y}=\frac{x_2 - x_1}{y_2 - y_1}$. Substitute $x_1 = 24.2$, $x_2=22.3$, $y_1 = 1930$, and $y_2 = 1960$ into the formula: $\frac{22.3 - 24.2}{1960 - 1930}=\frac{- 1.9}{30}\approx - 0.06$.

Answer:

$-0.06$