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?
a. amplitude = 6 feet; period = 8 hours; midline: y = 4
b. amplitude = 6 feet; period = 4 hours; midline: y = 3
c. amplitude = 3 feet; period = 8 hours; midline: y = 4
d. amplitude = 3 feet; period = 4 hours; midline: y = 3

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

Step-by-step explanation:

The midline is halfway between the lowest point and the highest point.

y = (1 + 7) / 2

y = 4

The period is the time it takes for a full cycle.  So the period is 8 hours.

The amplitude is the distance from the midline to the lowest or highest point.

a = 4 − 1 = 3, or a = 7 − 4 = 3

It's also half the distance between the lowest and highest points.

a = (7 − 1) / 2

a = 3

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

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