We are given a population graph of trout over time. a. We need to identify what the dashed line represents. b. We need to approximate the carrying capacity of the trout in this area. c. We need to explain how we arrived at the answer for 3b.

Applied MathematicsPopulation ModelingCarrying CapacityGraph InterpretationEcology
2025/4/15

1. Problem Description

We are given a population graph of trout over time.
a. We need to identify what the dashed line represents.
b. We need to approximate the carrying capacity of the trout in this area.
c. We need to explain how we arrived at the answer for 3b.

2. Solution Steps

a. The dashed line represents the carrying capacity of the environment for the trout population. The carrying capacity is the maximum population size that the environment can sustain indefinitely, given the available resources.
b. Looking at the graph, the trout population fluctuates around the dashed line. The dashed line is at approximately 350 on the population axis. Since the population is in "number of trout", then the approximate number is
3
5
0.
c. To arrive at the answer for 3b, I observed the graph and noticed that the population fluctuates around the dashed line. The dashed line is at approximately 350 on the population axis. Thus, the carrying capacity is approximately 350 trout.

3. Final Answer

a. The dashed line represents the carrying capacity.
b. The approximate number that represents the carrying capacity of trout in this area is
3
5

0. c. I observed the graph and noticed that the population fluctuates around the dashed line, which is at approximately 350 on the population axis.

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