Asked by bob

iN 1993, THE LIFE EXPECTANCY of males was 68.6 years. In 2000, it was 71.1 years. Let E represent the life expectancy in year t and t represent the number of years since 1993.

The linear function E(t) that fits this data is: E(t)=_t + _ (round to the nearest tenth)

Use the function to predict the life expectancy in 2003.

E(10)=

_= blank spaces to fill in. I'm not sure how to do this. I've done these problems, but usually the formaula is given.

Answers

Answered by Reiny
Look at my reply to Kiki's question
It is the same as yours, just the numbers have been changed.

http://www.jiskha.com/display.cgi?id=1269785566
Answered by bob
Where did you get .55? I don't need the slope I don't think. This is a pretty straightforward Q, I don't need to graph it.
Answered by Reiny
I was hoping you would follow the example.

in E(t) = _t + _

they want you to express it in the standard form of a straigh line equation

f(x) = mx + b, where m is the slope

so the first thing I did was find the slope, which turned out to be .55

In your case, the two point would be
(0,68.6) and (7,71.1)
so your slope = (71.1-68.6)/(7-0) = .3571

so E(t) = .3571t + b
put in (0,68.6)
68.6 = 0 + b
b = 68.6

so E(t) = .3571 + 68.6

then for 2003, t = 10
E(10) = .3571(10) + 68.6 = 72.17

Don't you see that your equation is identical is style and setup to hers?

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