Question

sea levels follow a periodic pattern of rise and fall called the tides. the graph below shows the sea level at a certain beach, in feet, over one day, where time t is measured in hours after 12:00 a.m. (midnight) on the first day. what is the period and what does it represent in this context? answer attempt 1 out of 2 the period is and it represents

Explanation:

Step1: Identify peak time difference

The first peak is at $t=1$ hours, the next peak is at $t=13$ hours. Calculate the difference:
$13 - 1 = 12$

Step2: Verify with trough time difference

The first trough is at $t=7$ hours, the next trough is at $t=19$ hours. Calculate the difference:
$19 - 7 = 12$

Step3: Interpret the period context

The period is the time for one full tide cycle (rise and fall).

Answer:

The period is 12 hours and it represents the time it takes for the sea level to complete one full cycle of rising to a high tide, falling to a low tide, and returning to the starting level.