document.write( "Question 263432: In 1992 the life expectancy of males in a certain country was 66.2 years in 1997 it was 69.9 years let E represent the life expectancy in year t and let t represent the number of years since 1992? \n" ); document.write( "

Algebra.Com's Answer #194127 by drk(1908) $\"\"$ $\"About$

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I think you are looking for a linear equation to model this data. We have two coordinates here
\n" ); document.write( "(0, 66.2) and (5, 69.9). Let 1992 = 0 and 1997 = 5.
\n" ); document.write( "step 1 - find the slope using
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "to get
\n" ); document.write( " $\"m+=+%2869.9-66.2%29%2F%285-0%29\"$
\n" ); document.write( "which is
\n" ); document.write( " $\"m+=+3.7%2F5\"$
\n" ); document.write( "---
\n" ); document.write( "step 2 - using y = mx + b, and a coordinate, we get
\n" ); document.write( " $\"y+=+mx+%2B+b\"$
\n" ); document.write( " $\"66.2+=+%283.7%2F5%29%2A0+%2B+b\"$
\n" ); document.write( "so,
\n" ); document.write( " $\"b=66.2\"$
\n" ); document.write( "---
\n" ); document.write( "we have our answer as
\n" ); document.write( " $\"y+=+%283.7%2F5%29x+%2B+66.2\"$ \n" ); document.write( "

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