The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 14 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?
Amplitude = 3 feet; period = 14 hours; midline: y = 6
Amplitude = 3 feet; period = 7 hours; midline: y = 3
Amplitude = 6 feet; period = 14 hours; midline: y = 6
Amplitude = 6 feet; period = 7 hours; midline: y = 3

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tinytree tinytree · Answer 1 · 2020-04-20T23:26:55+02:00

Answer:

the answer is A

Step-by-step explanation:

amp is 3, period is 14hrs, and midline is 6

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Vickynehra Vickynehra · Answer 2 · 2022-05-14T23:13:56+02:00

The Amplitude , Period and the midline of a function is 3 feet,14 hours , y=6.

amplitude :

The height from the center line to the peak (or to the trough) of a periodic function .

period :

A period is a number that can be expressed as an integral of an algebraic function over an algebraic domain .

given that ,

the minimum is 3 feet and the maximum is 9 feet

so ,

Amplitude (A) = maximum - minimum / 2

⇒ A = 9-3/2

A = 3 feet

now ,

the time completes the full cycle is 14 hours

so ,

period = 14 hours

now ,

the midline = maximum + minimum / 2

⇒ 9+3/2

⇒ 6

so ,

y= 6

Hence , the amplitude , period and the midline of function are 3feet,14hours , y=6.

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