SOLUTION: In 1992 the life expectancy of males in a certein country was 64.1 years. In 1996, it was 66.5 years. let E represent the life expectancy in year t and let t represent the number o

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: In 1992 the life expectancy of males in a certein country was 64.1 years. In 1996, it was 66.5 years. let E represent the life expectancy in year t and let t represent the number o      Log On


   

Question 473955: In 1992 the life expectancy of males in a certein country was 64.1 years. In 1996, it was 66.5 years. let E represent the life expectancy in year t and let t represent the number of years sence 1992.
The linear function E(t) that fits the data is?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The linear function looks like
+y+=+m%2Ax+%2B+b+
where +m+ = slope
and +b+ = y-intercept
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For this problem:
Replace y with +E%28t%29+
Replace +x+ with +t+
-----------------
Now you have
+E%28t%29+=+m%2At+%2B+b+
Note that when +t+=+0+, +E%280%29+=+b+
and +E%280%29+=+64.1+
------------------
Now you have
+E%28t%29+=+m%2At+%2B+64.1+
Now you have to find m, the slope of the line
m is the change in +E%7Bt%29+ divided by
the change in +t+
+m+=+%28+66.5+-+64.1+%29+%2F+%284+-+0%29+
+m+=+2.4+%2F+4+
+m+=+.6+
Now you have
+E%28t%29+=+.6t+%2B+64.1+
------------------
check answer:
+E%284%29+=+.6%2A4+%2B+64.1+
+E%284%29++=+2.4+%2B+64.1+
+E%284%29+=+66.5+
OK