The Chesapeake Bay tides vary between 4 feet and 6 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12

Question

The Chesapeake Bay tides vary between 4 feet and 6 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?

Amplitude = 1 foot; period = 12 hours; midline: y = 5

Amplitude = 2 feet; period = 6 hours; midline: y = 1

Amplitude = 2 feet; period = 12 hours; midline: y = 5

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Kaylee 1 week 2021-09-10T09:22:22+00:00 1 Answer 0

Answers ( )

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    2021-09-10T09:23:45+00:00

    Answer:

    Amplitude = 1 foot; period = 12 hours; midline: y = 5

    Step-by-step explanation:

    The Chesapeake Bay tides vary between 4 feet and 6 feet.

    This means the range is

    4 \leqslant f(t) \leqslant 6

    The period is the length of the interval on which the function completes one full cycle.The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours.

    The interval is [0,12] and its length is 12, hence the period is 12.

    The midline

    y =  \frac{min + max}{2}

    y =  \frac{4 + 6}{2}  = 5

    The amplitude is the distance from the midline to the peak.

    The amplitude is |5-4|=|5-6|=1

    The first choice is correct.

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