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

The correct option is 1.

Step-by-step explanation:

The general cosine function is

where, A is amplitude, is period, C is phase shift and D is midline.

It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.

Amplitude of the function is

Therefore the amplitude of the function is y=5.

Midline of the function is

Therefore the midline of the function is y=5.

It completes a full cycle in 12 hours.

hours

Period of the function is 12 hours. Therefore the correct option is 1.