SOLUTION: in 1992, life expectancy of males in a certain country was 65.1 years. in 1996, it was 68.9, let E represent the life expectancy in year t and let r represent the number of years s

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Question 459056: in 1992, life expectancy of males in a certain country was 65.1 years. in 1996, it was 68.9, let E represent the life expectancy in year t and let r 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 in 2006

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The years gets plotted on the horizontal axis
The Life expectancy is plotted on the vertical axis
First find the slope, , of the line
It is ( change in y ) / ( change in x )
(note that 4 = 1996 - 1992)


Now use the general formula for a line:
, but in this case:
where is the vertical intercept ( where )

You are given:
When , or in 1992, , so


So the whole equation is:

Then they ask you for ( 1996 )



The life expectance is 69.9 years in 1996

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