Answer:
See below
Step-by-step explanation:
<u>Problem 1</u>
For the function , the period is . In the context of this problem, the period is . This means that after every minutes, the height of the passenger will be the same, which shows they have completed one loop of the Ferris wheel.
<u>Problem 2A</u>
Since the ride took 15 minutes and 1 loop takes minutes, then the number of loops made during the ride is loops.
<u>Problem 2B</u>
Plug into the function to determine the height of the passenger after 15 minutes:
Therefore, the height of the passenger after 15 minutes is 180 feet above the ground.
<u>Problem 3A</u>
Plug into the function to determine the height of the last passenger after 6 minutes when the power outage occurs:
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Therefore, the last passenger is 15 feet above the ground after 6 minutes when the power outage occurs.
<u>Problem 3B</u>
The last passenger to board the ride won't need to wait in order to exit the ride because they are at the lowest point of the ride which is 15 feet above the ground. Therefore, they can get off immediately then.