Problema Solution
Aging Population
The number of U.S residents over the age of 65 was approximately 36.3 million in 2004 and 40.1 million in 2010.
Define the variables X and Y
Find an equation for the line containing the given data points
Estimate the number of U.S Residents over the age 65 in 2006-2016
Answer provided by our tutors
x = the number of years after 2004
y = the number of residents in millions
We have the following given points:
(0, 36.3) and (6, 40.1) (6 since 2010 - 2004 = 6)
The equation for the straight line trough (0, 36.3) and (6, 40.1) is:
y - 40.1 = (40.1 - 36.3)/(6 - 0)(x - 6)
........
click here to see the simplification of the equation
........
y = (19/30)x + (1089/30)
The number of U.S Residents over the age 65 in 2006-2016 is:
For the year of 2006 we have:
x = 2006 - 2004 = 2
y = (19/30)*2 + (1089/30)
y = 37.6 million
For the year of 2007 we have:
x = 2007 - 2004 = 3
y = (19/30)*3 + (1089/30)
y = 38.2 million
And so on.
See the bellow table with all the value calculated:
