Suppose that two runners run a 100 meter dash. One runner has a higher average rate of change while the other wins the race. Which of the following statements must be true?
a) The runner with the higher average rate of change wins the race.
b) The runner with the lower average rate of change wins the race.
c) The runner with the higher average rate of change may or may not win the race.
d) The runner with the lower average rate of change always wins the race.