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Question
match each population growth model to the graph that best represents it. linear growth exponential growth logistic growth
Brief Explanations
Linear growth has a constant - rate increase, forming a straight - line pattern on a graph. Exponential growth starts slow and then increases rapidly. Logistic growth has an initial growth phase, then levels off as it approaches a carrying capacity.
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- Linear growth: The graph where the points seem to form a straight - line pattern with a constant increase in the value of \(P\) as \(t\) increases.
- Exponential growth: The graph where the value of \(P\) starts to increase more and more rapidly as \(t\) increases.
- Logistic growth: The graph where the value of \(P\) initially increases, but then levels off as it approaches a maximum value.