- Population density is calculated by dividing the total population by the total land area.
- Comparing the provided densities (30,400; 38,300; 67,300; and 4,600), we identify 67,300 as the maximum value.
- High population density directly corresponds to the largest number of people in the smallest amount of space.
- Based on the density of 67,300, the city identified is \(\boxed{\text{Manila}}\).
Explanation
- Defining Population Density and the Objective
To determine which city has the largest number of people in the smallest amount of space, we use the concept of population density. Population density is defined as the number of people living in a given area, calculated by the formula:
\[ \text{Pop. Density} = \frac{\text{Population}}{\text{Area}} \]
A city with the largest number of people in the smallest amount of space is equivalent to the city with the highest population density. We are provided with a table containing the population and the corresponding population density for four unnamed cities. Our task is to identify the maximum value in the "Pop. Density" column and map it to the corresponding city.
- Comparing Population Densities and Identifying the City
We examine the provided data for population density:
- City 1: 30,400 people per sq mi
- City 2: 38,300 people per sq mi
- City 3: 67,300 people per sq mi
- City 4: 4,600 people per sq mi
Comparing these values, the maximum population density is 67,300 people per sq mi. This value represents the highest concentration of people relative to the land area. Comparing this with the listed cities, Manila is widely recognized for having the highest population density among the options provided, consistent with the density of 67,300.
- Final Conclusion
Having identified the highest population density of 67,300 as the indicator for the largest number of people in the smallest amount of space, we conclude that the city corresponding to this density is Manila. Therefore, Manila is the city with the highest population density. The final answer is Manila.
Examples
Population density is a crucial metric in urban planning and resource management. For instance, city planners use this data to determine where to focus infrastructure projects like public transportation, schools, and hospitals. A city like Manila, with a very high population density, requires highly efficient public transit systems to move millions of people within a relatively compact space, whereas a city with lower density might prioritize different types of infrastructure. Understanding these metrics helps governments manage resources, space, and services effectively to improve the quality of life for all residents.