Question

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

Explanation:

Step1: Analyze Linear Growth

Linear growth has a constant slope (constant rate of change). The first graph (left) has points that increase by a constant amount (e.g., from t=0 to t=3, t=3 to t=6, etc., the increase in P is constant). So linear growth matches the left graph.

Step2: Analyze Logistic Growth

Logistic growth has an S - shape: initial slow growth, then rapid growth, then slow growth as it approaches a carrying capacity. The middle graph starts with slow growth, then faster, then levels off (near 300), so logistic growth matches the middle graph.

Step3: Analyze Exponential Growth

Exponential growth has a curve where the rate of growth increases (multiplicative growth). The right graph shows a pattern where the population multiplies (e.g., from t=0 (P=2) to t=3 (P=4), t=3 to t=6 (P=8), doubling each time), so exponential growth matches the right graph.

Answer:

• Linear growth: The Left Graph
• Logistic growth: The Middle Graph
• Exponential growth: The Right Graph