in 1920, the record for a certain race was 45.3 sec. In 1960 it was 44.9 sec. let r (t) equal the record in the race and and (t)= the number of years since 1920

a find a linear function that fits the data
r(t) = round to the nearest hundreth
what is the predicted record for 2003 in sec
what is it for 2006 in sec
and in what year will the predicted record be 44.43 sec round to the nearest year.

Question

in 1920, the record for a certain race was 45.3 sec. In 1960 it was 44.9 sec. let r (t) equal  the record in the race and and (t)= the number of years since 1920

a find a linear function that fits the data 
r(t) = round to the nearest hundreth
what is the predicted record for 2003  in sec 
what is it for 2006 in sec 
and in what year will the predicted record be 44.43 sec round to the nearest year.

anonymous · Answer

find the slope of the line as 
$$\frac{44.9-45.3}{40}=-\frac{.4}{40}=-.01$$]

anonymous · Answer

so you model says it goes down by .01 second per year after 1920

andrew314 · Answer

y = -.01x + 45.3
2003; 44.47 sec
2006; 44.44 sec
2007 for 44.43 sec

anonymous · Answer

function would be 
$$r(t)=-.01t+45.3$$ where t is years since 1920

anonymous · Answer

the rest is what andrew said!