To determine the population growth for the herd of water buffalo, we need to carefully analyze the given rates of births, deaths, immigration, and emigration. Let's walk through the necessary steps step-by-step:
### Step 1: Identify the relevant figures
- Birth rate: 35
- Death rate: 7
- Immigration: 4
- Emigration: 17
### Step 2: Calculate population increases
The population of the herd will increase due to births and immigration.
- Birth rate = 35
- Immigration = 4
Thus, the total population increase is:
[tex]\[ \text{Population Increase} = \text{Birth rate} + \text{Immigration} = 35 + 4 = 39 \][/tex]
### Step 3: Calculate population decreases
The population of the herd will decrease due to deaths and emigration.
- Death rate = 7
- Emigration = 17
Thus, the total population decrease is:
[tex]\[ \text{Population Decrease} = \text{Death rate} + \text{Emigration} = 7 + 17 = 24 \][/tex]
### Step 4: Determine the overall population growth
To find the net population growth, we subtract the population decreases from the population increases.
[tex]\[ \text{Population Growth} = \text{Population Increase} - \text{Population Decrease} = 39 - 24 = 15 \][/tex]
### Conclusion
The population growth of the herd of water buffalo is calculated to be 15. Thus, none of the provided answers "population increases by 41" nor "population decreases by 15" fits our calculated results. Therefore, we have:
- Population increase: \( 39 \)
- Population decrease: \( 24 \)
- Net population growth: [tex]\( 15 \)[/tex]
