Question

bacterial population
select all the statements about this population that are supported by the graph.
during each 30 - minute interval, the populations growth was positive.
the bacterial populations growth rate between minutes 150 and 180 was greater than its growth rate between minutes 90 and 120.
the population demonstrated linear growth.
the population had a constant growth rate.

Explanation:

Step1: Analyze "During each 30 - minute interval..."

Check each 30 - minute interval (0 - 30, 30 - 60, 60 - 90, 90 - 120, 120 - 150, 150 - 180). In each interval, the population size increases (from 0 - some positive, then each subsequent point is higher than the previous in 30 - min steps). So this statement is supported.

Step2: Analyze "Growth rate between 150 - 180 vs 90 - 120"

Growth rate is change in population over time. From 90 - 120: let's say at 90, population is \(P_{90}\), at 120, \(P_{120}\). From 150 - 180: \(P_{150}\) to \(P_{180}\). Visually, the increase from 150 - 180 (from ~64 to ~130) is larger than from 90 - 120 (from ~16 to ~32) over 30 minutes. So growth rate ( \(\frac{\Delta P}{\Delta t}\)) is higher for 150 - 180. This statement is supported.

Step3: Analyze "Linear growth"

Linear growth has a constant slope (constant growth rate). But the growth rate is increasing (each 30 - min interval has a larger \(\Delta P\) than the previous, e.g., 0 - 30: small increase, 30 - 60: a bit more, 60 - 90: more, etc.). So it's exponential - like, not linear. This statement is not supported.

Step4: Analyze "Constant growth rate"

Since growth rate ( \(\frac{\Delta P}{30}\)) is increasing (as \(\Delta P\) per 30 min is increasing), growth rate is not constant. This statement is not supported.

Answer:

• During each 30 - minute interval, the population's growth was positive.
• The bacterial population's growth rate between minutes 150 and 180 was greater than its growth rate between minutes 90 and 120.