Question

match each population growth model to the graph that best represents it. logistic growth exponential growth linear growth

Explanation:

Step1: Recall Growth Models

• Logistic Growth: S - shaped curve, starts with slow growth, then rapid, then slows as it approaches carrying capacity (levels off).
• Exponential Growth: J - shaped curve, growth rate proportional to current population, accelerates over time (curves upward, increasing slope).
• Linear Growth: Straight - line (constant slope), equal increase in population per unit time (constant rate of change).

Step2: Analyze Each Graph

• First Graph (Left): The population growth starts to level off as \( t \) increases (approaching a carrying capacity), so this matches logistic growth.
• Second Graph (Middle): The curve is J - shaped, with the slope increasing (faster growth as population increases), so this matches exponential growth.
• Third Graph (Right): The points seem to lie approximately on a straight line (constant slope), so this matches linear growth.

Answer:

Left Graph: logistic growth
Middle Graph: exponential growth
Right Graph: linear growth