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

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