The rate of change, de, of the number of people entering a movie theater is modeled by a logistic differential equation. The capacity of the theater is 500 people. At a certain time, the number of people in the theater is 100 and is increasing at the rate of 50 per minute. Which of the following differential equations could describe this situation? P=¹(500-P) (A) B C D P= P(500-P) 50 dP dt dP dt =P (500-P) 800 1 1200 P (500+P)

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A:

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