Question

In 1990, the life expectancy of females was 78.8 yr. In 2001, it was 79.8 yr. Let F(t) = life expectancy and t = the number of years since 1990.


a) Find a linear function that fits the data.















b) Use the function of part (a) to estimate the life
expectancy of females in 2010.

Answer 1

a. F(t)=78.8 + 1/11t
b.80.6

Answer 2

In 1990, the life expectancy of females was 78.8 yr. In 2001, it was 79.8 yr. Let F(t) = life expectancy and t = the number of years since 1990

(79.8-78.8)/(2001-1990)
1/11
F(0) = 78.8
F(t) = t/11 + b
b = 78.8

F(t) = t/11 + 78.8

F(20) = 20/11 + 78.8 =80.6181