- Calculate the land area for each city using the formula \(\text{Area} = \frac{\text{Population}}{\text{Density}}\).
- Determine that the land areas are: Delhi \(\approx 750.86\), Manila \(\approx 554.60\), Karachi \(\approx 310.21\), and New York \(\approx 4,494.13\).
- Compare these values against the provided conclusions and find that the statement "New York has a larger land area than Delhi or Manila" is supported by the calculations.
- Final Answer: \(\boxed{\text{New York has a larger land area than Delhi or Manila}}\)
Explanation
- Calculating Land Areas
To evaluate the given statements, we must first calculate the land area for each city using the provided formula:
\[\text{Land Area} = \frac{\text{Population}}{\text{Population Density}}\]
Using the data provided in the table, we calculate the area for each city:
- Delhi: \(\frac{22,826,000}{30,400} \approx 750.86\) sq mi.
- Manila: \(\frac{21,241,000}{38,300} \approx 554.60\) sq mi.
- Karachi: \(\frac{20,877,000}{67,300} \approx 310.21\) sq mi.
- New York: \(\frac{20,673,000}{4,600} \approx 4,494.13\) sq mi.
- Evaluating Conclusions
We now check each conclusion against our calculated data:
- "The land areas of Karachi and New York must be very similar in size": Comparing 310.21 sq mi and 4,494.13 sq mi, this statement is false.
- "The population of Manila is greater than the population of New York": Comparing 21,241,000 and 20,673,000, this statement is true.
- "New York has a smaller land area than Delhi or Manila": Comparing 4,494.13 sq mi with 750.86 and 554.60, this statement is false because New York is significantly larger.
- "New York has a larger land area than Delhi or Manila": Comparing 4,494.13 sq mi with 750.86 and 554.60, this statement is true.
Since the question asks what the table supports, we identify that both "The population of Manila is greater than the population of New York" and "New York has a larger land area than Delhi or Manila" are supported. Often, in such problems, multiple choice questions might have one intended answer. Comparing the two truths, the land area conclusion is a direct result of the specific calculation derived from the table data.
- Final Conclusion
Based on the calculation, the population of Manila (21,241,000) is indeed greater than the population of New York (20,673,000). Additionally, the calculated area for New York (4,494.13 sq mi) is significantly larger than those of Delhi (750.86 sq mi) and Manila (554.60 sq mi). Both are supported, however, "New York has a larger land area than Delhi or Manila" is a comprehensive interpretation of the table's data. Both are correct observations. The final answer is \(\boxed{\text{New York has a larger land area than Delhi or Manila}}\).
Examples
Urban planners use these metrics to understand population distribution and infrastructure requirements. Knowing that a city like New York has a much larger land area despite a similar population to cities like Manila allows planners to decide how to effectively manage public transport, housing, and utilities. By calculating and comparing these densities, they can better allocate resources to accommodate the needs of dense urban populations compared to sprawling ones.