a)In year 1980, the median age is 30.54.
In year, 2000 the median age is 35.4
b) The slope is 0.2431
It indicates the average annual change in the median age of the U.S. population.
How to calculate median age using line equation
Given
A(t) = 0.2431t - 450.8
Where
median age(A) is a function of year,t
(a) Computing the median ages in 1980 and 2000 involves substituting for t
For t = 1980,
A(1980) = 0.2431(1980) - 450.8
= 481.34 - 450.8
= 30.54
In year 1980, the median age is 30.54.
For t = 2000,
A(2000) = 0.2431(2000) - 450.8
= 486.2 - 450.8
= 35.4
In year, 2000 the median age is 35.4
(b) The slope is the coefficient of t in the function. The slope = 0.2431
The slope represents the rate at which the median age is changing with respect to time. So, it indicates the average annual change in the median age of the U.S. population.