18 select the correct answer. a hotel manager recorded the percentage of rooms that were occupied each day…

18 select the correct answer. a hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. the data she collected is shown on the graph. hotel occupancy by day y 80 70 60 percentage occupied 50 40 30 20 10 0 1 3 5 7 9 11 13 15 17 19 21 23 25 x day of month the manager recognizes that the data approximates a transformation of the parent sine function, y = sin(x). which value is closest to the amplitude of the transformed function? a. 15 b. 30 c. 55 d. 35

18 select the correct answer. a hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. the data she collected is shown on the graph. hotel occupancy by day y 80 70 60 percentage occupied 50 40 30 20 10 0 1 3 5 7 9 11 13 15 17 19 21 23 25 x day of month the manager recognizes that the data approximates a transformation of the parent sine function, y = sin(x). which value is closest to the amplitude of the transformed function? a. 15 b. 30 c. 55 d. 35

Answer

Explanation:

Step1: Identify maximum and minimum values

The maximum value of the occupancy - percentage from the graph is around 70 and the minimum is around 40.

Step2: Calculate the amplitude formula

The formula for the amplitude of a periodic function is $A=\frac{\text{Max}-\text{Min}}{2}$. Substitute Max = 70 and Min = 40 into the formula: $A=\frac{70 - 40}{2}$.

Step3: Perform the calculation

$A=\frac{30}{2}=15$.

Answer:

A. 15