In logistic growth (an s-shaped curve), how does the population growth rate change as the population nears its carrying capacity?

The logistic growth curve is given by the differential equation,

When the rate of change in population approaches the maximum carrying capacity, the curve starts to flatten or become saturated.

The left hand of the differential equation becomes zero and attains a steady state equilibrium at,

Hence, at .

The right end of the logistic growth curve shows the flattening of the curve while reaching the maximum carrying capacity.

there are 35 white marbles

step-by-step explanation:

y- yellow marbles

4y + 5 = 45

subtract 5 from both sides

4y = 40

divide for from both sides

y = 10

plug in 10 to get 40 yellow marbles then subtract by 5 to get 35 marbles

thus there are only 10 yellow marbles

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answer: collecting information/data

reason: the student is going around and asking people questions to collect data

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