Question

compare linear, exponential, and logistic growth. growth rate stays roughly constant over time growth rate initially increases over time but then decreases and eventually reaches zero 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 occurs when resources are limited

Explanation:

1. In linear growth, the growth rate is constant as it follows a straight - line pattern (e.g., y = mx + b where m is constant).
2. In exponential growth, when resources are unlimited, the growth rate increases continuously over time (e.g., $y = a\cdot b^x$ with b > 1).
3. In logistic growth, initially the growth rate increases, but as resources become limited, it decreases and eventually reaches zero when the carrying capacity is reached.

Answer:

1. Growth rate stays roughly constant over time: Linear growth
2. Growth rate initially increases over time but then decreases and eventually reaches zero: Logistic growth
3. Growth rate continues increasing over time: Exponential growth
4. Occurs when resources are essentially unlimited and the number of reproductive individuals increases: Exponential growth
5. Occurs when the number of reproductive individuals doesn't change: None of the above (but if we consider a very basic case where there is no growth at all, it's outside these three main growth models)
6. Occurs when resources are limited: Logistic growth