Select the correct answer.
To help with staffing decisions, the manager of a large grocery store recorded the total number of customers waiting in line at registers each half hour over a 12-hour period. The data she collected is shown in the graph.
The graph shows Customers in line by Half Hour Water in time of day on the x-axis and customers on the y-axis. The dot plot wave starts from 14 at 9.00 am, 18 at 9.30, 20 at 10.00 am 25 at 11.00 am, 29 at 11.30, 33 at 12.00 pm, 34 at 12.30 pm
The manager recognizes that the data approximates a transformation of the parent sine function, y\:=\:\sin(x)
.
Which value is closest to the midline of the transformed function?
A.
24
B.
14
C.
20
D.
17
The midline of the transformed function is the horizontal line that divides the graph into two equal parts. From the given data, we can see that the values fluctuate between 14 and 34, so the midline is the average of these two values.
Midline = (14 + 34) / 2 = 24
Therefore, the answer is A. 24.