To determine which pond has the greatest population density of resident geese, we need to calculate the population density for each pond. Population density is defined as the number of geese per acre. Here is a step-by-step solution:
1. Calculate the population density for Pond A:
- Population of geese in Pond A: 88
- Area of Pond A: 1.1 acres
- Population density = Number of geese ÷ Area
[tex]\[
\text{Population density for Pond A} = \frac{88}{1.1} = 80.0 \, \text{geese per acre}
\][/tex]
2. Calculate the population density for Pond B:
- Population of geese in Pond B: 175
- Area of Pond B: 1.3 acres
- Population density = Number of geese ÷ Area
[tex]\[
\text{Population density for Pond B} = \frac{175}{1.3} \approx 134.615 \, \text{geese per acre}
\][/tex]
3. Calculate the population density for Pond C:
- Population of geese in Pond C: 192
- Area of Pond C: 1.5 acres
- Population density = Number of geese ÷ Area
[tex]\[
\text{Population density for Pond C} = \frac{192}{1.5} = 128.0 \, \text{geese per acre}
\][/tex]
4. Calculate the population density for Pond D:
- Population of geese in Pond D: 204
- Area of Pond D: 2.0 acres
- Population density = Number of geese ÷ Area
[tex]\[
\text{Population density for Pond D} = \frac{204}{2.0} = 102.0 \, \text{geese per acre}
\][/tex]
5. Compare the population densities:
- Population density for Pond A: 80.0 geese per acre
- Population density for Pond B: 134.615 geese per acre
- Population density for Pond C: 128.0 geese per acre
- Population density for Pond D: 102.0 geese per acre
Among these, the highest population density is 134.615 geese per acre, which corresponds to Pond B.
Therefore, Pond B has the greatest population density of resident geese.
