what does the dotted line represent and explain how it impacts a population?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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what does the dotted line represent and explain how it impacts a population?
The image depicts a graph with the following components:

- **Axes**: 
  - The horizontal axis is labeled "t," which typically denotes time.
  - The vertical axis is labeled "x," which often represents a variable dependent on time.

- **Graph Line**: 
  - A red curve starts at the origin, rising steeply at first and then gradually leveling off as it approaches a horizontal dashed line.

- **Horizontal Dashed Line**:
  - Denoted by "M," this line indicates the maximum or asymptotic value that the curve approaches but does not exceed. It suggests a saturation level or equilibrium point.

This graph likely represents a process where the rate of change in "x" decreases over time, eventually stabilizing at the value "M", suggesting a typical logistic growth pattern or a saturation model.
Transcribed Image Text:The image depicts a graph with the following components: - **Axes**: - The horizontal axis is labeled "t," which typically denotes time. - The vertical axis is labeled "x," which often represents a variable dependent on time. - **Graph Line**: - A red curve starts at the origin, rising steeply at first and then gradually leveling off as it approaches a horizontal dashed line. - **Horizontal Dashed Line**: - Denoted by "M," this line indicates the maximum or asymptotic value that the curve approaches but does not exceed. It suggests a saturation level or equilibrium point. This graph likely represents a process where the rate of change in "x" decreases over time, eventually stabilizing at the value "M", suggesting a typical logistic growth pattern or a saturation model.
Expert Solution
Step 1

The curve shown in question represents Logistic growth model of population. The curve shows that how population growth changes with carrying capacity.

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