In a population per capita birth rate is `0.15` and per capita death rate is `0.08` during a unit time period. What is the value of r (intrinsic rate of natural increases) for the given population ?

Options

A. `0.23`
B. `0.07`
C. `0.05`
D. `0.25`

Explanation

To find the intrinsic rate of natural increase (r) for the given population, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Per capita birth rate (b) = 0.15
- Per capita death rate (d) = 0.08

2. **Understand the Formula**:
- The intrinsic rate of natural increase (r) is calculated using the formula:
\[ r = b - d \]
- Here, \( b \) is the per capita birth rate and \( d \) is the per capita death rate.

3. **Substitute the Values into the Formula**:
- Substitute the given values into the formula:
\[ r = 0.15 - 0.08 \]

4. **Perform the Calculation**:
- Now, perform the subtraction:
\[ r = 0.15 - 0.08 = 0.07 \]

5. **State the Result**:
- Therefore, the intrinsic rate of natural increase (r) for the given population is **0.07**.

### Final Answer:
The value of r (intrinsic rate of natural increase) for the given population is **0.07**.

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