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11-13.

Multiple Choice: As a rumor spreads across a city, its rate is proportional to the product of the number of citizens who have heard the rumor and the number who have not. Which equation below could represent this scenario? Homework Help ✎

1. $\frac { d P } { d t }= kP(350,000 - P)$

1. $\frac { d P } { d x }= kx(350,000 - x)$

1. $\frac { d P } { d t }= kt(350,000 - t)$

1. $\frac { d P } { P }= k(350,000 - t)dt$

1. None of these

The rumor is spreading throughout the population over time. What variables should be used?

If $P$ represents the number of people that have heard the rumor, what is a possible expression for the number of people that have not heard the rumor?