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

Step-by-step explanation:

Given that,

Hudson Bay tides vary between and .

Tide is at its lowest when

Completes a full cycle in 14 hours.

To find:- What is the amplitude, period, and midline of a function that would model this periodic phenomenon?

So, The periodic function of this model is

                                                         ...................(1)

                                                                 where,

Then putting the value in given Equation(1) we get,

        Amplitude =

Now, At it complete full cycle in because it is at lowest at t=0sec.

∵                    

∴                                      

Hence