SOLUTION: The number​ (in millions) of employees working in educational services in a particular country was 14.4 in 2005 and 16.2 in 2014. Let x=5 correspond to the year​ 2005, and e

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The number​ (in millions) of employees working in educational services in a particular country was 14.4 in 2005 and 16.2 in 2014. Let x=5 correspond to the year​ 2005, and e      Log On


   



Question 1164571:
The number​ (in millions) of employees working in educational services in a particular country was 14.4 in 2005 and 16.2 in 2014. Let x=5 correspond to the year​ 2005, and estimate the number of employees in 2008.
Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity.
Let y represent the number of employees. The linear equation that best models the number of employees​ (in millions) is ____
In 2008,the number​ (in millions) of employees working in education services would be ___

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the ordered pairs are (5, 14.4) and (14, 16.2)
the slope is 1.8/9 or 0.2
point slope formula is y-y1=m(x-x1), m slope and (x1, y1) point
y-14.4=0.2(x-5)
y-14.4=0.2x-1
y=0.2x+13.4
in 2008 y=0.2*8+13.4=15.0
graph%28300%2C300%2C-10%2C15%2C-5%2C18%2C0.2x%2B13.4%29