Question

NEED HELP ASAP GRADE DEPENDS ON THIS (30pts.)

The Cobscook Bay tides vary between 4 feet and 20 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 18 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?
Amplitude = 16 feet; period = 9 hours; midline: y = 8
Amplitude = 16 feet; period = 18 hours; midline: y = 12
Amplitude = 8 feet; period = 9 hours; midline: y = 8
Amplitude = 8 feet; period = 18 hours; midline: y = 12

Answer 1

9 HOURS

Explanation:

TRUST ME

Answer 2

9514 1404 393

Answer:

(d) Amplitude = 8 feet; period = 18 hours; midline: y = 12

Explanation:

The amplitude is half the difference between the low and high, so is ...

(20 -4)/2 = 16/2 = 8 . . . . amplitude in feet

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The period is the time it takes for one full cycle. The problem statement tells you one full cycle takes 18 hours, so 18 hours is the period.

__

The midline is half the sum of the low and high, so is ...

(20 +4)/2 = 24/2 = 12 . . . . midline in feet

These values are matched by the last choice:

amplitude 8, period 18, midline 12.