SOLUTION: In 1995, the life expectancy of males in a certain country was 68.8 years. In 1999, it was 71.0 years.Let E represent the life expectancy in year t and let t represent the number o

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: In 1995, the life expectancy of males in a certain country was 68.8 years. In 1999, it was 71.0 years.Let E represent the life expectancy in year t and let t represent the number o      Log On

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Question 513728: In 1995, the life expectancy of males in a certain country was 68.8 years. In 1999, it was 71.0 years.Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The linear function E(t) that fits the data is: E(t)= ?t+?
Use the function to predict the life expectancy of malkes in 2009
E(14)= ?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In 1995, the life expectancy of males in a certain country was 68.8 years.
In 1999, it was 71.0 years.
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You have two points: (0,68.8) and (4,71) where 0 corresponds to 1995.
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Let E represent the life expectancy in year t and let t represent the number of years since 1995.
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slope = (71-68.8)/(4-0) = 0.55
intercept = 68.8
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The linear function E(t) that fits the data is:
E(t)= 0.55t + 68.8
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Use the function to predict the life expectancy of males in 2009
From 1995 to 2009 is 14 years:
E(14)= 0.55*14 + 68.8
E(14) = 76.5
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Cheers,
Stan H.
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