SOLUTION: In 1990 the life expectancy of males in a certain country was 65.4 years. In 1996, it was 69.0 years. Let E represent the life expectancy in year t and let t represent the number

Algebra ->  Expressions-with-variables -> SOLUTION: In 1990 the life expectancy of males in a certain country was 65.4 years. In 1996, it was 69.0 years. Let E represent the life expectancy in year t and let t represent the number      Log On


   

Question 462652: In 1990 the life expectancy of males in a certain country was 65.4 years. In 1996, it was 69.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990. The linear function that fits the data is E(t)=_t+_
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot years on the horizontal and
life expectancy on the vertical.
Using the point-slope formula,
+%28+E+-+65.4+%29+%2F+%28+t+-+0+%29+=+%28+69+-+65.4+%29+%2F+%28+6+-+0+%29+
Multiply both sides by +6t+
+6%2A%28+E+-+65.4+%29+=+3.6%2At+
+6E+-+392.4+=+3.6t++
+6E+=+3.6t+%2B+392.4+
+E+=+.6t+%2B+65.4+
check answer:
1990:
+65.4+=+.6t+%2B+65.4+
+.6t+=+0+
+t+=+0+ (or 1990)
1996:
+69+=+.6t+%2B+65.4+
+.6t+=+3.6+
+t+=+6+ (or 1996)
OK