select the correct answer. a homeowners association monitored the number of households in a neighborhood…

select the correct answer. a homeowners association monitored the number of households in a neighborhood using their sprinkler systems during certain hours. this graph shows the information recorded for two days. f(x) water sprinkler usage 250 225 200 175 150 125 100 75 50 25 3:00 a.m 7:00 a.m 11:00 a.m 3:00 p.m 7:00 p.m 11:00 p.m 3:00 a.m 7:00 a.m 11:00 a.m 3:00 p.m 7:00 p.m 11:00 p.m 3:00 a.m time of day the function describing this graph is a transformation of the parent cosine function, y = cos(x). which value best describes the period of the transformed function? a. 18 hours b. 16 hours c. 24 hours d. 12 hours

select the correct answer. a homeowners association monitored the number of households in a neighborhood using their sprinkler systems during certain hours. this graph shows the information recorded for two days. f(x) water sprinkler usage 250 225 200 175 150 125 100 75 50 25 3:00 a.m 7:00 a.m 11:00 a.m 3:00 p.m 7:00 p.m 11:00 p.m 3:00 a.m 7:00 a.m 11:00 a.m 3:00 p.m 7:00 p.m 11:00 p.m 3:00 a.m time of day the function describing this graph is a transformation of the parent cosine function, y = cos(x). which value best describes the period of the transformed function? a. 18 hours b. 16 hours c. 24 hours d. 12 hours

Answer

Explanation:

Step1: Identify period definition

The period of a periodic - function is the horizontal length of one complete cycle.

Step2: Analyze the graph

Looking at the graph of the water - sprinkler usage function, we can see that one complete cycle of the wave occurs from 3:00 am on the first day to 3:00 am on the second day.

Step3: Calculate the time difference

The time difference between 3:00 am on the first day and 3:00 am on the second day is 24 hours.

Answer:

C. 24 hours