# Ecological Population Growth StudyAn ecologist studies three populations within an ecosystem. Each population has an identical intrinsic growth rate ( \( r_{max} = 0.5 \) ). The population sizes and carrying capacities are shown in the graph below.## Graph Analysis### Description:- **X-axis:** Represents the three populations, labeled A, B, and C.- **Y-axis:** Represents the number of individuals in each population, ranging from 0 to 1000.- **Legend:** - **Blue Bars:** Indicate the current population size. - **Red Bars:** Indicate the carrying capacity, which is the maximum population size that the environment can sustain.### Data:- **Population A:** - **Size:** Approximately 100 individuals. - **Carrying Capacity:** Approximately 200 individuals.- **Population B:** - **Size:** Approximately 400 individuals. - **Carrying Capacity:** Approximately 500 individuals.- **Population C:** - **Size:** Approximately 900 individuals. - **Carrying Capacity:** Approximately 1000 individuals.## Question:What is the growth rate of Population C? _____### Graph Interpretation:The graph shows the difference between the current population sizes and their respective carrying capacities. The intrinsic growth rate (\( r_{max} \)), set to 0.5, is a constant factor for all populations. To calculate the growth rate of Population C, we'll utilize the provided intrinsic growth rate along with the current population size and carrying capacity.### Calculation:To find the growth rate of Population C, the following formula can be used:\[ \text{Growth Rate} = r_{max} \times \left(1 - \frac{\text{Population Size}}{\text{Carrying Capacity}}\right) \times \text{Population Size} \]Substitute the values for Population C:\[ \text{Growth Rate} = 0.5 \times \left(1 - \frac{900}{1000}\right) \times 900 \]\[ \text{Growth Rate} = 0.5 \times (1 - 0.9) \times 900 \]\[ \text{Growth Rate} = 0.5 \times 0.1 \times 900 \]\[ \text{Growth Rate} = 0.5 \times 90 = 45 \]Thus,

Name: # Ecological Population Growth StudyAn ecologist studies three popula
Uploaded: 2022-11-30T15:55:55.000Z
Channel: Bartleby
Description: # Ecological Population Growth StudyAn ecologist studies three populations within an ecosystem. Each population has an identical intrinsic growth rate ( \( r_{max} = 0.5 \) ). The population sizes and carrying capacities are shown in the graph below