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.

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

the rest is what andrew said!