6. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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6. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the
passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min.
Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be
loaded.
a. Write a model representing the couple's horizontal position x (in feet) relative to the center of
the Ferris wheel, t minutes after the ride starts.
b. Write a model representing the couple's height y (in feet) above ground level, t minutes after
the ride starts.
c. Give the coordinates of the couple's position 2 min into the ride and tell if they are going up or
down. Round to the nearest tenth of a foot.
Transcribed Image Text:6. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and tell if they are going up or down. Round to the nearest tenth of a foot.
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