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Interpreting the Derivative of a Rate Function

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The rate at which students enroll in an online course is modeled by the function S(t)S(t), where S(t)S(t) is measured in students per day and tt is the number of days since the course was announced. Which of the following provides the best interpretation of S(7)S'(7)?

A

The rate at which students are enrolling in the course, in students per day, on day 7 since the course was announced

B

The total number of students enrolled in the course during the first 7 days since it was announced

C

The rate of change in the enrollment rate, in students per day per day, on day 7 since the course was announced

D

The average enrollment rate, in students per day, over the first 7 days since the course was announced

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