To determine which conclusion the table supports, let's analyze the land areas of each city using the given populations and population densities.
The formula for calculating the land area given population (P) and population density (D) is:
[tex]\[ \text{Area} = \frac{P}{D} \][/tex]
1. Delhi (India)
[tex]\[
\text{Population} = 22,826,000 \\
\text{Density} = 30,400 \text{ people per sq mi} \\
\text{Area} = \frac{22,826,000}{30,400} \approx 750.86 \text{ sq mi}
\][/tex]
2. Manila (Philippines)
[tex]\[
\text{Population} = 21,241,000 \\
\text{Density} = 38,300 \text{ people per sq mi} \\
\text{Area} = \frac{21,241,000}{38,300} \approx 554.60 \text{ sq mi}
\][/tex]
3. Karachi (Pakistan)
[tex]\[
\text{Population} = 20,877,000 \\
\text{Density} = 67,300 \text{ people per sq mi} \\
\text{Area} = \frac{20,877,000}{67,300} \approx 310.21 \text{ sq mi}
\][/tex]
4. New York (US)
[tex]\[
\text{Population} = 20,673,000 \\
\text{Density} = 4,600 \text{ people per sq mi} \\
\text{Area} = \frac{20,673,000}{4,600} \approx 4494.13 \text{ sq mi}
\][/tex]
Given these computed land areas:
- Delhi: 750.86 sq mi
- Manila: 554.60 sq mi
- Karachi: 310.21 sq mi
- New York: 4494.13 sq mi
We can now conclude that:
- The land area of Karachi (310.21 sq mi) is significantly smaller than that of New York (4494.13 sq mi).
- The population of Manila (21,241,000) is less than the population of New York (20,673,000), so this statement is incorrect.
- New York has a much larger land area (4494.13 sq mi) compared to both Delhi (750.86 sq mi) and Manila (554.60 sq mi).
Therefore, the correct conclusion supported by the table is:
- New York has a larger land area than Delhi or Manila.
