In 1920 the record for a certain race was 45.4 sec. in 1950, it was 41.5 sec. let R(t) = the record in the race and t the number of years since 1920.

Question

R(t)=?
What is the predicted record for 2003?
What is the predicted record for 2006?
in what year will the predicted record be 44.4 sec?

Answer 1

Your question is much too vague.

Are you suggesting the relation is linear? or exponential? or logarithmic?

You only have 2 ordered pairs, and then are trying to extrapolate.