In 1991, the life expectancy of males in a certain country was 72.6 years. In 1996, it was 74.7 years. Let E represent the life expectancy in year t and represent the number of years since 1991.

Question

The linear function E(t) that fits that data is, E(t)=

Answer 1

e = expectancy
t = year - 1991
points are (t,e) (0,72.6) (5, 74.7)

slope = (74.7-72.6) /(5-0) = .42

e(t) = .42 t + b
72.6 = 0 + b so b = 72.6

e(t) = .42 t + 72.6

Answer 2

Now let's see, 2014 - 1991 = 23
so
e(23) = .42(23) + 72.6
e(23) = 82.3

well, that is encouraging :)