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the saginaw bay tides vary between 2 feet and 8 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?

Verified Answer :

I just took the test the correct answer is:
Amplitude = 3 feet; 3 period = 16 hours; midline: y = 5.

Answer:

Amplitude = 3 feet

Period = 16 hours

Midline y = 5

Step-by-step explanation:

The saginaw bay tides vary between 2 feet and 8 feet that means amplitude of the wave function will be \(a=\frac{8-2}{2}=\frac{6}{2}=3feet\)

Now midline of the function will be \(y=\frac{8+2}{2}=5\)

As it has been given in the question that tide completes a full cycle in 16 hours that means period of the function formed will be 16 hours.

                                         

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