Problema Solution

In 1992, the life expectancy of males in a certain country was 61.7 years. In 1999, it was 64.9 years Let E express the life expectancy in year t and let t represent the number of years since 1992.

The linear function E(t) that fits the data is

E(t)=__t+__

Use the function to predict the life expectancy of males in 2003.

E(13)=?

Answer provided by our tutors

we have two points of the form (t,E)

One is (0,61.7) ; this is the intercept for the equation.

The other is (5,64.5)

slope = (64.5 - 61.7)/(5-0) = 2.8/5 = 0.56

 


The linear function E(t) that fits the data is

E(t)=_0.56t+61.7


Use the function to predict the life expectancy of males in 2005.

E(13) = 0.56*13 + 61.7 = 68.98 years