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.

The manager recognizes that the data approximates a transformation of the parent sine function, .

Which value is closest to the amplitude of the transformed function?

The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.

What is sin function?

It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.

We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.

As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)

And the minimum value is attends is -15(=40-55)

The graph will be:

y = 15sinx

a = 15

Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.

Learn more about the sin function here:

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