Explain why if a runner completes a 6.2-mi race in 35 min, then he must have been running at exactly 10 mi/hr at least twice in the race. Assume the runner's speed at the finish line is zero. Select the correct choice below and, if necessary, fill in any answer box to complete your choice. (Round to one decimal place as needed.) A. The average speed is mi/hr. By the intermediate value theorem, the speed was exactly mi/hr at least twice. By MVT, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race. B. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least twice. By the intermediate value theorem, the speed between and mi/hr was constant. Therefore, the speed of 10 mi/hr was reached at least twice in the race. C. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least once. By the intermediate value theorem, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race.

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8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
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Explain why if a runner completes a 6.2-mi race in 35 min, then he must have been running at exactly 10 mi/hr
at least twice in the race. Assume the runner's speed at the finish line is zero.
Select the correct choice below and, if necessary, fill in any answer box to complete your choice.
(Round to one decimal place as needed.)
A. The average speed is
mi/hr. By the intermediate value theorem, the speed was exactly
mi/hr at
least twice. By MVT, all speeds between
and
mi/hr were reached. Because the initial and final
speed was
mi/hr, the speed of 10 mi/hr was reached at least twice in the race.
B. The average speed is
mi/hr. By MVT, the speed was exactly
mi/hr at least twice. By the
intermediate value theorem, the speed between
and mi/hr was constant. Therefore, the speed
of 10 mi/hr was reached at least twice in the race.
C. The average speed is
mi/hr. By MVT, the speed was exactly
mi/hr at least once. By the
intermediate value theorem, all speeds between
and
mi/hr were reached. Because the initial
and final speed was
mi/hr, the speed of 10 mi/hr was reached at least twice in the race.
Transcribed Image Text:Explain why if a runner completes a 6.2-mi race in 35 min, then he must have been running at exactly 10 mi/hr at least twice in the race. Assume the runner's speed at the finish line is zero. Select the correct choice below and, if necessary, fill in any answer box to complete your choice. (Round to one decimal place as needed.) A. The average speed is mi/hr. By the intermediate value theorem, the speed was exactly mi/hr at least twice. By MVT, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race. B. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least twice. By the intermediate value theorem, the speed between and mi/hr was constant. Therefore, the speed of 10 mi/hr was reached at least twice in the race. C. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least once. By the intermediate value theorem, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race.
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