in a forest there are 40 tigers last year. increase of 8 tigers was observed because of reproduction making the current population to 48. calculate the birth rate for tiger population.

Options

A. `0.833`
B. `0.2`
C. `0.166`
D. `6`

Answer

To calculate the birth rate for the tiger population in the forest, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Population**:
- Last year, the population of tigers was 40.

2. **Identify the Increase in Population**:
- This year, an increase of 8 tigers was observed due to reproduction.

3. **Calculate the Current Population**:
- The current population is the initial population plus the increase:
\[ \text{Current Population} = \text{Initial Population} + \text{Increase} = 40 + 8 = 48 \]

4. **Define Birth Rate**:
- Birth rate is defined as the change in population divided by the current population.
- Mathematically, it can be expressed as:
\[ \text{Birth Rate} = \frac{\text{Change in Population}}{\text{Current Population}} \]

5. **Calculate the Change in Population**:
- The change in population is the increase in the number of tigers, which is 8.

6. **Substitute Values into the Birth Rate Formula**:
- Now, substitute the values into the formula:
\[ \text{Birth Rate} = \frac{8}{48} \]

7. **Perform the Calculation**:
- Simplifying the fraction:
\[ \text{Birth Rate} = \frac{8}{48} = \frac{1}{6} \approx 0.1667 \]

8. **Round the Result**:
- Rounding to three decimal places gives us:
\[ \text{Birth Rate} \approx 0.167 \]

### Final Answer:
The birth rate for the tiger population is approximately **0.167**.