Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 77 minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?" To explain Lance's complaint, first compute his average velocity. (Use decimal notation. Give your answer to two decimal places.) average velocity: miles/hour How did Lance use the Mean Value Theorem to explain his complaint? As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed that is above 15 miles/hour. For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour. There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed exceeds the speed of 15 miles/hour.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 36PS
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Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a
problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 77
minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?"
To explain Lance's complaint, first compute his average velocity.
(Use decimal notation. Give your answer to two decimal places.)
average velocity:
miles/hour
How did Lance use the Mean Value Theorem to explain his complaint?
As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed
that is above 15 miles/hour.
O For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour.
There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed
exceeds the speed of 15 miles/hour.
Transcribed Image Text:Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 77 minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?" To explain Lance's complaint, first compute his average velocity. (Use decimal notation. Give your answer to two decimal places.) average velocity: miles/hour How did Lance use the Mean Value Theorem to explain his complaint? As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed that is above 15 miles/hour. O For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour. There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed exceeds the speed of 15 miles/hour.
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