SOLUTION: In 1991, the life expectancy of males in a certain country was 70.6 years. In 1997 it was 73.7 years. Let E represent the life expectancy in year t and let t represent the number

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Question 145258: In 1991, the life expectancy of males in a certain country was 70.6 years. In 1997 it was 73.7 years. Let E represent the life expectancy in year t and let t represent the number of years since 1991
here is what I came up with but I am not sure if I am right
the first data point is ( 0, 70.6)
the second data point is ( 6, 73.7)
y-73.7=0.51(x-0)
y=-0.51x73.7
R(t)=-0.51+73.7
Now use this function as a formula for predictions 2003
R(12)=0.51(12)+70.6
R=76.7
0.51x12=6.12=76.7
Found 2 solutions by vleith, stanbon:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
find the slope m = %2873.7-70.6%29%2F%286-0%29 = 0.5166
Use point slope to find the equation
(E - 70.6) = 0.5166(t - 0) <---you used coordinates from two different points
E(t) = 0.5166t + 70.6
Find E in year 2003
t = 2003 - 1991 = 12
E(12) = 0.5166(12) + 70.6 = 76.8


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In 1991, the life expectancy of males in a certain country was 70.6 years. In 1997 it was 73.7 years. Let E represent the life expectancy in year t and let t represent the number of years since 1991
here is what I came up with but I am not sure if I am right
---------------
The first data point is ( 0, 70.6)
Comment: This is the y-intercept; you only need to find the slope.
-------
the second data point is ( 6, 73.7)
-------
slope = (73.7-70.6)/(6-0) = 31/60 = 0.5167
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EQUATION:
E(t) = 0.5167t + 73.7
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Cheers,
Stan H.