SOLUTION: I just can't figure this out... please help :) In 1990, the life expectancy of males in a certain country was 64.4 years. In 1995, it was 66.9 years. Let E represent the life e

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Question 552624: I just can't figure this out... please help :)
In 1990, the life expectancy of males in a certain country was 64.4 years. In 1995, it was 66.9 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990.
The linear function E(t) that fits the data is
E(t)=____t+___.
(round to the nearest tenth)
Use the function to predict the life expectancy of males in 2005.
E(15)=____
(round to the nearest tenth)
Im at a loss.... Thank you in advance for your help!!!

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You are given data for two ordered pairs, , and are told that this is a linear relationship.

for 1990, , and for 1995, . So your two ordered pairs are and

Use the two-point form of an equation of a line:



where and are the coordinates of the given points.

Then put the result into slope intercept form:

For the second part of your problem, calculate the value of that represents the year 2005. Hint: Subtract 1990 from 2005. Then substitute that value of into your equation and do the arithmetic.

John

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