The chesapeake bay tides vary between 4 feet and 6 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon?
amplitude = 1 foot; period = 12 hours; midline: y = 5
amplitude = 2 feet; period = 6 hours; midline: y = 1
amplitude = 2 feet; period = 12 hours; midline: y = 5

Amplitude = 1 foot; period = 12 hours; midline: y = 5

Step-by-step explanation:

The Chesapeake Bay tides vary between 4 feet and 6 feet.

This means the range is

The period is the length of the interval on which the function completes one full cycle.The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours.

The interval is [0,12] and its length is 12, hence the period is 12.

The midline

The amplitude is the distance from the midline to the peak.

The amplitude is |5-4|=|5-6|=1

The first choice is correct.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.