SOLUTION: In 1991, the life expectancy of males in a certain country was 61.5 years. In 1995, it was 64.4 years. Let E represent the life expectancy in year t and let t represent the numbe

Algebra ->  Rational-functions -> SOLUTION: In 1991, the life expectancy of males in a certain country was 61.5 years. In 1995, it was 64.4 years. Let E represent the life expectancy in year t and let t represent the numbe      Log On


   



Question 554238: In 1991, the life expectancy of males in a certain country was 61.5 years. In 1995, it was 64.4 years. Let E represent the life expectancy in year t and let t represent the number of years since 1991. 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!
A linear function means it is a straight line
Plot +t+ on the horizontal axis
Plot +E+ on the vertical axis
You are given the points:
( 0,61.5 ) and
( 4,64.4 )
--------
Use the point-slope formula:
+%28+E+-+61.5+%29+%2F+%28+t+-+0+%29+=+%28+64.4+-+61.5+%29+%2F+%28+4+-+0+%29+
+%28+E+-+61.5+%29+%2F+t+=+2.9+%2F+4+
Multiply both sides by +4t+
+4%2A%28+E+-+61.5+%29+=+2.9t+
+4E+-+246+=+2.9t+
+4E+=+2.9t+%2B+246+
+E%28t%29+=+.725t+%2B+61.5+
check answer:
+E%280%29+=+.725%2A0+%2B+61.5+
+E%280%29+=+61.5+
and
+E%284%29+=+.725%2A4+%2B+61.5+
+E%284%29+=+2.9+%2B+61.5+
+E%284%29+=+64.4+
OK