to help with staffing decisions, the manager of a large grocery store recorded the total number of customers…

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. customers in line by half hour 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. 20 b. 17 c. 14 d. 24

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. customers in line by half hour 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. 20 b. 17 c. 14 d. 24

Answer

Explanation:

Step1: Identify maximum and minimum values

From the graph, the maximum number of customers in - line is around 36 and the minimum is around 12.

Step2: Calculate the mid - line

The formula for the mid - line of a sinusoidal function is $y=\frac{y_{max}+y_{min}}{2}$. Substitute $y_{max} = 36$ and $y_{min}=12$ into the formula: $\frac{36 + 12}{2}=\frac{48}{2}=24$.

Answer:

D. 24