Question 183914: In 1994, the life expectancy of males in a certain country was 73.9 years. In 2000, it was 76.4 years.Let E represent the life expectancy in year t and let t represent the number of years since 1994.
The linear function E(t) that fits the data is
E(t) = ____t+____.
(round to the nearest thenth.)
Use the function to predict the life expectancy of males in 2003.
E(9) = ______
(round to the nearest tenth)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! In 1994, the life expectancy of males in a certain country was 73.9 years. In 2000, it was 76.4 years.Let E represent the life expectancy in year t and let t represent the number of years since 1994.
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You have two points: (0,73.9), which is the y-intercept,
and (6,76.4).
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Find the slope:
m = (76.4-73.9)/(6-0) = 2.5/6 = 5/12
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Equation:
E(t) = (5/12)t + 73.9
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The linear function E(t) that fits the data is
E(t) = (5/12)t+ 73.9
(round to the nearest tenth.)
Use the function to predict the life expectancy of males in 2003.
E(9) = (5/12)*9 + 73.9 = 77.65
(round to the nearest tenth)
E(9) = 77.7 years.
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Cheers,
Stan H.
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