A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 25 mi along the highway. When the car reached the location of the second officer 23 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit? Select the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O B. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O C. The officer can conclude the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the car was travelling at a speed of miles per hour.

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A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 25 mi along the highway. When the car
reached the location of the second officer 23 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60
mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit?
Select the correct answer below and fill in the answer box to complete your choice.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
O A. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was
travelling at a speed of
miles per hour.
O B. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was
travelling at a speed of
miles per hour.
O C. The officer can conclude the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the car was travelling at a
speed of miles per hour.
Transcribed Image Text:A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 25 mi along the highway. When the car reached the location of the second officer 23 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit? Select the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O B. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O C. The officer can conclude the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the car was travelling at a speed of miles per hour.
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