SOLUTION: In 1994, the life expectancy of males in a certain country was 69.6 years. In 1998, it was 73.0 years. Let E represent the life expectancy in year t and let t represent the number

Question 197358: In 1994, the life expectancy of males in a certain country was 69.6 years. In 1998, it was 73.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994.
E(t)=_t+_
Use the function to predict the life expectancy of males in 2008

Answer by ankor@dixie-net.com(12695) (Show Source):
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In 1994, the life expectancy of males in a certain country was 69.6 years.
In 1998, it was 73.0 years. Let E represent the life expectancy in year t
and let t represent the number of years since 1994.
:
Find the slope
In 1994; x1=0 and y1=69.6
In 1998; x2=4 and y2=73
:
Find the slope (m) using the slope equation: m =
m = = = .85
:
Use the point/slope formula to write the equation; y - y1 = m(x - x1)
y - 69.6 = .85(x - 0)
y = .85x + 69.6
:
therefore:
The Linear function E(t) that fits the data is.
E(t)= .85t + 69.6
:
Use the Function to predict the life expectancy of males in 2008.
This means t=14; substitute 14 for t in the equation
E(14)= .85(14) + 69.6
E(14)= 11.9 + 69.6
E(14)= 81.5 yrs is the life expectancy in 2008