A school board has a plan to increase participation in the PTA. Currently only about 15 parents attend meetings. Suppose the school board plan results in logistic growth of attendance. The school board believes their plan can eventually lead to an attendance level of 45 parents. In the absence of limiting factors the school board believes its plan can increase participation by 20% each month. Let m denote the number of months since the participation plan was put in place, and let P be the number of parents attending PTA meetings
(a) What is the carrying capacity K for a logistic model of P versus m? K45
(b) Find the constant b for a logistic model. b15
(c) Find ther value for a logistic model. Round your answer to three decimal places
(d) Find a logistic model for P versus m. Pw
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