Question

match each statement to the growth model it best describes.
growth rate continues increasing over time
occurs when resources are essentially unlimited and the number of reproductive individuals increases
occurs when the number of reproductive individuals doesnt change
growth rate initially increases over time but then decreases and eventually reaches zero
occurs when resources are limited
growth rate stays roughly constant over time
linear growth
exponential growth
logistic growth

Explanation:

Step1: Analyze Linear Growth

Linear growth has a constant growth rate (stays roughly constant over time) and the number of reproductive individuals doesn't change (since the rate is constant, the "reproductive" contribution is steady). So statements: "Growth rate stays roughly constant over time", "Occurs when the number of reproductive individuals doesn't change".

Step2: Analyze Exponential Growth

Exponential growth occurs with unlimited resources, the growth rate continues increasing (as population grows, more individuals reproduce, so rate increases), and the number of reproductive individuals increases. So statements: "Growth rate continues increasing over time", "Occurs when resources are essentially unlimited and the number of reproductive individuals increases".

Step3: Analyze Logistic Growth

Logistic growth has limited resources, growth rate initially increases (as population starts growing) but then decreases (due to resource limits) until it reaches zero (carrying capacity). So statements: "Growth rate initially increases over time but then decreases and eventually reaches zero", "Occurs when resources are limited".

Answer:

• Linear growth: "Growth rate stays roughly constant over time", "Occurs when the number of reproductive individuals doesn't change"
• Exponential growth: "Growth rate continues increasing over time", "Occurs when resources are essentially unlimited and the number of reproductive individuals increases"
• Logistic growth: "Growth rate initially increases over time but then decreases and eventually reaches zero", "Occurs when resources are limited"