An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The problem provides a table with population and population density for several cities.
Calculate the land area for Delhi, Manila, and New York using the formula: Land Area = Population / Population Density.
Compare the calculated land areas and the given populations to evaluate the given conclusions.
The table supports the conclusion that the population of Manila is greater than the population of New York.
Explanation
Understanding the Problem We are given a table with population and population density for four cities: Delhi, Manila, Karachi, and New York. We need to determine which of the given conclusions is supported by the data in the table.
Analyzing the Options First, let's analyze the given options:
The land areas of Karachi and New York must be very similar in size.
The population of Manila is greater than the population of New York.
New York has a smaller land area than Delhi or Manila.
New York has a larger land area than Delhi or Manila.
Calculating Land Areas We can calculate the land area for each city using the formula:
Land Area = Population Density Population
For Delhi: Land Area Delhi = 30 , 400 22 , 826 , 000 ≈ 750.86 sq mi
For Manila: Land Area Manila = 38 , 300 21 , 241 , 000 ≈ 554.60 sq mi
For New York: Land Area New York = 4 , 600 20 , 673 , 000 ≈ 4494.13 sq mi
We don't have the population density for Karachi, so we cannot calculate its land area.
Evaluating the Conclusions Now, let's evaluate the given conclusions:
We cannot determine the land area of Karachi, so we cannot compare it to New York.
The population of Manila (21,241,000) is greater than the population of New York (20,673,000). This statement is true.
The land area of New York (4494.13 sq mi) is not smaller than Delhi (750.86 sq mi) or Manila (554.60 sq mi). This statement is false.
The land area of New York (4494.13 sq mi) is larger than Delhi (750.86 sq mi) and Manila (554.60 sq mi). This statement is true.
Determining the Supported Conclusion Since the population of Manila is greater than the population of New York, and New York has a larger land area than Delhi or Manila, both options 2 and 4 are correct. However, the question asks for which conclusion the table supports . The population comparison is a direct comparison from the table, while the land area comparison requires calculation. Therefore, the most directly supported conclusion is that the population of Manila is greater than the population of New York.
Final Answer The table supports the conclusion that the population of Manila is greater than the population of New York.
Examples
Understanding population density and land area is crucial in urban planning. For example, city planners use these metrics to determine resource allocation, infrastructure development, and zoning regulations. By comparing population and density, planners can identify areas that may require more schools, hospitals, or transportation services. This data-driven approach ensures that cities can effectively manage growth and provide essential services to their residents.
A device delivering a current of 15.0 A for 30 seconds results in approximately 2.81 x 10^21 electrons flowing through it. This is calculated by first finding the total charge in coulombs and then converting that charge into the number of electrons. The calculation involves using the relationships between current, charge, and the charge of a single electron.
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