800 600 400- 200 50 100 150 200 Time (d) For the above population growth with an initial population size of 10, what are the most likely estimates for rand K? Or= 0.02, K = 700 Or= 0.02, K = 800 Or= 2, K = 800 Or= 0.05, K = 800 Or= 4, K = 800 Population (#)

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### Population Growth Analysis

**Graph Description:**

The graph illustrates the population growth over time, plotted with the following axes:
- The x-axis represents **Time (d)** in days.
- The y-axis represents the **Population (#)**.

The curve begins at a low population size, increases rapidly during the middle phase, and levels off as it approaches a plateau, suggesting logistic growth.

**Question:**

For the above population growth with an initial population size of 10, what are the most likely estimates for \( r \) (intrinsic growth rate) and \( K \) (carrying capacity)?

- \( r = 0.02, K = 700 \)
- \( r = 0.02, K = 800 \)
- \( r = 2, K = 800 \)
- \( r = 0.05, K = 800 \)
- \( r = 4, K = 800 \)

**Explanation:**

The graph shows an initial slow growth, a steep increase in population during the exponential phase, and a slowing growth as it reaches the carrying capacity, \( K \). Choose the \( r \) and \( K \) values that best fit this logistic growth pattern.
Transcribed Image Text:### Population Growth Analysis **Graph Description:** The graph illustrates the population growth over time, plotted with the following axes: - The x-axis represents **Time (d)** in days. - The y-axis represents the **Population (#)**. The curve begins at a low population size, increases rapidly during the middle phase, and levels off as it approaches a plateau, suggesting logistic growth. **Question:** For the above population growth with an initial population size of 10, what are the most likely estimates for \( r \) (intrinsic growth rate) and \( K \) (carrying capacity)? - \( r = 0.02, K = 700 \) - \( r = 0.02, K = 800 \) - \( r = 2, K = 800 \) - \( r = 0.05, K = 800 \) - \( r = 4, K = 800 \) **Explanation:** The graph shows an initial slow growth, a steep increase in population during the exponential phase, and a slowing growth as it reaches the carrying capacity, \( K \). Choose the \( r \) and \( K \) values that best fit this logistic growth pattern.
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