Question

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
E(17)=___________________
round to the nearest tenth

Answer 1

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.

Answer 2

close, but not quite.