13
QuizMultiple Choice

Modeling with Periodic Functions — Quiz

Question 13 • Precalculus

The height, h , in feet of a flag on one blade of a windmill as a function of time, t , in seconds can be modeled by the equation h is equal to 3 sine open paren 4 pi over 5 times open paren t minus 1 half close paren close paren plus 12 What is the minimum height of the flag?

Answer
A
9 feet
B
15 feet
C
12 feet
D
3 feet

Explanation

The sine function ranges from −1 to 1, so 3 sin((4π/5)(t − 1/2)) ranges from −3 to 3. Adding 12 shifts the whole range to 9 through 15 feet. Therefore, the minimum height is 9 feet, choice A.

AI-written and checked against the verified answer.

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