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Section 6.5: Population Growth

Section 6.5: Population Growth. Logistic Growth Model. Find: the value of A in a population which has a carrying capacity of 8000, a growth constant of .1, and a population of 5000 in the base year. M = 8000 Determine values of variables. t = 0 k = .1.

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Section 6.5: Population Growth

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  1. Section 6.5: Population Growth

  2. Logistic Growth Model Find: thevalue of A in a population which has a carrying capacity of 8000, a growth constant of .1, and a population of 5000 in the base year. M = 8000Determinevalues of variables. t = 0 k = .1 P = M/(1+Ae-kt)Use the formula for population growth. • 5000 = 8000/(1+Ae0) Plug in the values and evaluate at the initial condition. A = .6Solve for A.

  3. Logistic Growth Model Find: thepopulation in year 15 using the data of the previous problem. M = 8000Determinevalues of variables. t = 0 k = .1 A = .6 P = M/(1+Ae-kt)Use the formula for population growth. • P = 8000/(1+.6e-1.5) Plug in the values. P= 7055Evaluate.

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