If B=0.55, D = 0.45 and N = 1000, then dN`//`dt = __________

Options

A. 5500
B. 1000
C. 100
D. 4500

Answer

To solve the problem, we need to calculate the rate of change of population size (dN/dt) using the given values for birth rate (B), death rate (D), and initial population size (N).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Birth rate (B) = 0.55
- Death rate (D) = 0.45
- Initial population size (N) = 1000

2. **Calculate the Intrinsic Growth Rate (r):**
- The intrinsic growth rate (r) can be calculated using the formula:
\[ r = B - D \]
- Substitute the values:
\[ r = 0.55 - 0.45 = 0.10 \]

3. **Use the Formula for dN/dt:**
- The formula for the rate of change of population size is:
\[ \frac{dN}{dt} = r \times N \]
- Substitute the values of r and N:
\[ \frac{dN}{dt} = 0.10 \times 1000 \]

4. **Calculate dN/dt:**
- Perform the multiplication:
\[ \frac{dN}{dt} = 100 \]

### Final Answer:
Thus, \( \frac{dN}{dt} = 100 \).

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