The Saginaw Bay tides vary between two feet and eight feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 16 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon.

5cos(pi/6)t+7 would this be correct?

Question

The Saginaw Bay tides vary between two feet and eight feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 16 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon.

5cos(pi/6)t+7     would this be correct?

kropot72 · Answer

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The amplitude is given by
$$A=\frac{8-2}{2}=3\ feet$$