SOLUTION: In 1960, the life expectancy in the UK was 71.1 years. In 2008, it was 79.9 years. Let F(t) = life expectancy and t = the number of years since 1960. a) Find a linear function t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1960, the life expectancy in the UK was 71.1 years. In 2008, it was 79.9 years. Let F(t) = life expectancy and t = the number of years since 1960. a) Find a linear function t      Log On


   

Question 478665: In 1960, the life expectancy in the UK was 71.1 years. In 2008, it was 79.9 years. Let F(t) = life expectancy and t = the number of years since 1960.
a) Find a linear function that fits the data.
b) Use the function of Part (a) to estimate the life expectancy in 2010.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
year life expectancy
1960 71.1 years
2008 79.9 years
Difference
48 8.8
Increase in life expectancy per year = 8.8 / 48 = 0.18

F(t)= 71.1 + 0.18 t

2010 t= 50

F(t)= 71.1 + 0.18 * 50

F ( 2010 )= 80.27 years