Question

over the course of a full year, the daylight in a certain city follows a periodic pattern. the graph below represents the average daylight, in minutes, over the course of twenty - four months, with time t, representing the number of months after january 1 of a certain year. what is the period and what does it represent in this context? the period is and it represents

Explanation:

Step1: Identify period using peaks

The period is the horizontal distance between identical points on the periodic graph. Use the peak points $(11.5, 920)$ and $(23.5, 920)$.
$23.5 - 11.5 = 12$

Step2: Interpret period context

The input $t$ is months, so the period represents the time for the daylight pattern to repeat.

Answer:

The period is 12 and it represents the number of months it takes for the average daylight pattern to complete one full cycle and repeat.