To determine which city has the largest number of people in the smallest amount of space, we examine the relationship between the population and the population density (people per square mile) for each city.
Given data:
1. Delhi (India)
- Population: 22,826,000
- Population Density: 30,400 people/sq mi
2. Manila (Philippines)
- Population: 21,241,000
- Population Density: 38,300 people/sq mi
3. Karachi (Pakistan)
- Population: 20,877,000
- Population Density: 67,300 people/sq mi
4. New York (US)
- Population: 20,673,000
- Population Density: 4,600 people/sq mi
To find the "largest number of people in the smallest amount of space," we need to calculate the number of people each city has per unit of space, which is essentially the ratio of population to population density. This gives us an idea of how congested each place is in terms of people per unit area.
Calculations:
1. Delhi:
[tex]\[
\frac{22,826,000}{30,400} \approx 750.86 \text{ people/unit of space}
\][/tex]
2. Manila:
[tex]\[
\frac{21,241,000}{38,300} \approx 554.60 \text{ people/unit of space}
\][/tex]
3. Karachi:
[tex]\[
\frac{20,877,000}{67,300} \approx 310.21 \text{ people/unit of space}
\][/tex]
4. New York:
[tex]\[
\frac{20,673,000}{4,600} \approx 4494.13 \text{ people/unit of space}
\][/tex]
Based on these calculations, New York has approximately 4494.13 people per unit of space, which is significantly higher than the figures for Delhi, Manila, and Karachi.
Therefore, the city with the largest number of people in the smallest amount of space is New York.
