Final answer:
The question lacks the necessary information, such as total distance and time, to calculate the bicyclist's average speed over the specified time interval, hence the average speed cannot be determined from the options given.
Step-by-step explanation:
The question provided does not give enough information to determine which of the provided options (A. 58 mph, B. -58 mph, C. 8 mph, D. -8 mph) represents the bicyclist's average speed over the time interval [0, 1]. To calculate average speed, you need to know the total distance traveled and the total time taken. Since neither is provided in the question or the contextual excerpts, it is not possible to accurately calculate or determine the bicyclist's average speed.