Question

https://www.id.com/science/biology/patterns-of-population-growth
select all the statements about this population that are supported by the graph.
the population grew relatively slowly for the first 12 hours.
the population grew relatively quickly between hours 14 and 18.
the population size did not change much after hour 19.
the population grew exponentially for all 24 hours.

Explanation:

Step1: Analyze first statement

Check the graph for the first 12 hours. The population size (y - axis) remains nearly constant (close to 0) for \( t \) from 0 to 12 hours, so growth is slow. This statement is supported.

Step2: Analyze second statement

Between hours 14 and 18, the \( y \) - values (population) increase rapidly (the points rise steeply), so growth is quick. This statement is supported.

Step3: Analyze third statement

After hour 19, the points are almost horizontal (population size doesn't change much), so this statement is supported.

Step4: Analyze fourth statement

Exponential growth has a curve that keeps increasing with increasing slope (or constant relative growth). But after hour 19, the population stabilizes (flat line), so it's not exponential for all 24 hours. This statement is not supported.

Answer:

The supported statements are:

• The population grew relatively slowly for the first 12 hours.
• The population grew relatively quickly between hours 14 and 18.
• The population size did not change much after hour 19.