Posted by **Mary** on Thursday, April 8, 2010 at 8:07pm.

In 1994 the life expectancy of males in a certain country was 61.6 years. In 1999, it was 63.8 years. Let E?

represent the life expectancy in year t and let t represent the number of years since 1994.

1) The linear function E(t) that fits the data is: E(t)=___t+___

2) Use the function to predict the life expectancy of males in 2007.

E(13)=______

- Algebra -
**Reiny**, Thursday, April 8, 2010 at 9:28pm
Are we assuming that the increase is linear ?

If so, then

treat you given data as two ordered pairs

(0,61.6) and (5,63.8)

slope = (63.8-61.6)/5

= .44

then E(t) = .44t + b , the standard form of a linear equation

plug in (0,61.6) which is like the y-intercept, so b= 61.6

E(t) = .44t + 61.6

test it for t=5 , the year 1999

E(5) = .44(5) + 61.6 = 63.8

as expected

now when year is 2007, t = 13

E(13) = .44(13) + 61.6 = 67.3

- Algebra -
**Mary**, Friday, April 9, 2010 at 10:21am
Thank you so much, I was having problems with this question.

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