20
QuizMultiple Choice

Modeling with Periodic Functions — Quiz

Question 20 • Precalculus

The height, h , in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t , in seconds can be modeled by the equation h is equal to 8 cosine open paren pi over 10 t close paren What is the period of the function?

Answer
A
pi over 20 seconds
B
pi over 10 seconds
C
8 seconds
D
20 seconds

Explanation

For a cosine function of the form cos(Bt), the period is 2π divided by the coefficient B. Here B = π/10, so the period is 2π ÷ (π/10) = 20 seconds. The correct choice is 20 seconds.

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