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Question 174035: Ok this problem is really confusing, I feel like I might know what to do but I cannot remember the formula to do it.
In 1992, the life expectancy of males in a certain country was 61.7 years. In 1997, it was 64.5 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 2005.
E(13)=?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In 1992, the life expectancy of males in a certain country was 61.7 years. In 1997, it was 64.5 years Let E express the life expectancy in year t and let t represent the number of years since 1992.
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You have two points of the form (t,E)
One is (0,61.7) ; this is the intercept for the equation.
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The other is (5,64.5)
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slope = (64.5 - 61.7)/(5-0) = 2.8/5 = 0.56
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The linear function E(t) that fits the data is
E(t)=_0.56t+61.7
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Use the function to predict the life expectancy of males in 2005.
E(13) = 0.56*13 + 61.7 = 68.98 years
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Cheers,
Stan H.
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