The san francisco bay tides vary between 1 foot and 7 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon?
amplitude = 6 feet; period = 8 hours; midline: y = 4
amplitude = 6 feet; period = 4 hours; midline: y = 3
amplitude = 3 feet; period = 8 hours; midline: y = 4
amplitude = 3 feet; period = 4 hours; midline: y = 3

Amplitude = 3 feet; period = 8 hours; midline: y = 4

Step-by-step explanation:

sketch it....(see attached)

The correct option is 3.

Step-by-step explanation:

It is given that the San Francisco Bay tides vary between 1 foot and 7 feet.

It means the maximum value of the function is 7 and minimum value is 1.

The amplitude of the function is

The amplitude of the function is 3 feet.

Midline of the function is

The midline of the function is 4 feet.

It is given that the tide completes a full cycle in 8 hours. It means the period of function is 8 hours.

Therefore the correct option is 3.

x/3-10=8

x/3=18

x=48