Complex Analysis
Marcos is planning to travel from Phoenix to Flagstaff. Let t represent the number of hours since Marcos left Phoenix and let d represent the number of miles Marcos has traveled from Phoenix.
After completing his trip Marcos recorded that he had traveled for 2 hours and 17 minutes on Interstate 17 (without stopping) for a distance of 155 miles.
a. Marcos did not travel at a constant speed on this drive. Which graph could represent how Marcos' distance traveled (in miles) and the number of hours since he left Phoenix change together?
b. Determine Marcos' average speed for the 155 mile trip.
c. Devon also drove to Flagstaff, leaving at the same time and from the same location as Marcos, and arrives in Flagstaff at the same time.Devon has cruise control and travels at a constant speed for the entire trip.
i. Which graph could represent the relationship between Devon's distance traveled (in mikes) since leaving Phoenix and the number of hours elapsed since Devon left Phoenix? Select an answer v
ii. At what constant speed did Devon drive?
d. Suppose after driving for 2.2 hours (2 hours and 12 minutes), Marcos' total distance traveled was 153 miles. At what constant speed (in miles per hour) will Marcos need to travel for the last 5 minutes of the trip so that he travels the 155 mile drive in 2 hours and 17 minutes?
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