Answer :

A statement that correctly describes the data set is: D. periodic with a period of 3 and an amplitude of about 10.

In Mathematics and Euclidean Geometry, a periodic function is a type of function that has its values being repeated at regular interval of time (period).

By critically observing the table of values, we can logcally deduce that the values are repeated at regular intervals. This ultimately implies, the period will be the distance between two maximum points where the maximum value occurs;

The first maximum, 30, occurs on day 2.

The second maximum, 28, occurs on day 5

Therefore, the approximate period is given by;

Period = 5 - 2

Period = 3.

For the amplitude, we have:

Amplitude = (30 - 10)/2

Amplitude = 20/2

Amplitude = 10

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Rewritten by : Barada