posted by Carey on .
in 1991 the life expectancy of males in a certain country was 73.7 years in 1997 it was 76.9 years let E represent the life expectancy in year T and let T represent the number of years since 1991
the Linear function E (T) that fits the data is E(t)=_____T+______
use the function to predict the life expectancy of males in 2008
round to the nearest tenth
At T=0, which is when we're in 1991, we want E(0)=73.7.
The slope in front of T is found as follow :
(76.9 - 73.7) divided by (1997-1991)
= 0.53333~ = 8/15
This mean thay the life expectancy would increase by 8/15th of a year every year.
In short, E(T) = 8/15 x T + 73.7
And E(17) = 8/15 x 17 + 73.7 which you can calculate.
close, but not quite.