APFIVE Interpreting the Derivative of a Rate Function
The rate at which students enroll in an online course is modeled by the function $$S(t)$$, where $$S(t)$$ is measured in students per day and $$t$$ is the number of days since the course was announced. Which of the following provides the best interpretation of $$S'(7)$$?
A
The total number of students enrolled in the course during the first 7 days since it was announced
B
The rate at which students are enrolling in the course, in students per day, on day 7 since the course was announced
C
The average enrollment rate, in students per day, over the first 7 days since the course was announced
D
The rate of change in the enrollment rate, in students per day per day, on day 7 since the course was announced
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