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 maximum and what does it represent in this context?

Explanation:

Step1: Identify the maximum value from the graph

By observing the graph, the maximum value of the average - daylight function is 995 minutes.

Step2: Determine the time corresponding to the maximum

The points on the graph are of the form (t, h) where t is the number of months after January 1 and h is the average daylight in minutes. The points (5.5, 995) and (17.5, 995) have the maximum h - value. In the context of a year (a 12 - month cycle), 5.5 months after January 1 corresponds to mid - June.

Answer:

The maximum average daylight is 995 minutes. It represents the maximum amount of average daylight in minutes in the city, and it occurs at 5.5 months after January 1 (mid - June) and 17.5 months after January 1 (mid - June of the next year).