In 1920 the record for a certain race was 46.5 seconds. In 1930 it was 46.3 seconds. Let R represent the record in the race and (t) represent the number of years since 1920.

a) find a linear function that fits the data

b) use function in (a) to predict record in 2003 & 2006.

c) find the year when the record will be 44.76 seconds