You have answered 3 out of 4 parts correctly. Assuming P 0, suppose that a population develops according to the logistic equation where t is measured in weeks. Answer the following questions. 1. What is the carrying capacity? Carrying Capacity: 500 2. What is the value of k? Answer: k = 3. For what values of P is the population increasing? Answer (in interval notation): (0,500) 4. For what values of P is the population decreasing? Answer (in interval notation): (500, inf) dP 0.05P 0.0001P dt