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runner called a pacemaker is often used in races to force competitors to
A
their hardest the entire race and to promote fast times. A pacemaker
try
often a good runner, but is never expected to win the race. Many times,
is
pacemaker does not even complete it. Tom Byers was employed as
the
pacemaker in a 1500 m race in Oslo, Norway in 1981. His approximate
a
at various points during the race is given below.
time
Distance
(m)
time
Elapsed
(s)
Does this seem like a proportional relationship?
1
Explain.
Draw the graph of Byers’ time versus the distance he
2
covered.
Find an equation for your graph. Verify that it works
3
substituting in at least one of the points.
by
Is this a proportional relationship? Justify your
4
answer.
Find Byers’ time for the 1500 m race based on your
5
Show how the same result is achieved using
ndings.
Byers’ nal time was actually 219.01 seconds. Explain
6
this is dierent than the value you found.
why
Does this mean this is not a proportional relationship?
7
Explain.
Ovett and Steve Cram were the favorites to
Steve
the race, but they chose not to keep up with
win
fast pace. At one point, Byers had a lead of
Byers’
70 m. Ovett, who held the world record at the
over
nished the race in second place, 0.5 seconds
time,
Byers!
behind
Activity 4 – Keeping the pace
100 14.5
200 29
400 58
800 116
the equation, the graph and a proportion.
Did you know?
1 Ratios and proportions
28