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Mean Value Theorem And Average Speed

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Megan drove along a highway with an average speed of 80 mph. If her lowest speed was 50 mph, which of the following statements must be true according to the Mean Value Theorem?
A

Megan never exceeded a speed of 80 mph.

B

Megan never exceeded a speed of 70 mph.

C

Megan drove faster than 80 mph for part of the trip.

D

Megan maintained a constant speed of 50 mph.

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