Question

the populations and land areas of four cities in texas are shown. which statements are true? select three options. the population density for city b can be found using the ratio 40,602:20. the population density for city d can be found using the ratio 250:106,420. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.

Explanation:

Step1: Calculate population density for each city

Population density formula: \(density=\frac{population}{area}\)
For City A: \(\frac{2195914}{1553}\approx1414\)
For City B: \(\frac{40502}{20} = 2025.1\)
For City C: \(\frac{1257670}{900}\approx1397.41\)
For City D: \(\frac{106420}{250}=425.68\)

Step2: Check each statement

• First statement: For City B, \(density=\frac{40502}{20}\), so this statement is true.
• Second statement: For City D, \(density=\frac{106420}{250}\), not \(\frac{250}{106420}\), so this statement is false.
• Third statement: Since \(2025.1>1414>1397.41 > 425.68\), City B has the greatest population density, not City A. So this statement is false.
• Fourth statement: \(2025.1>1397.41\), so the population density of City B is greater than that of City C. This statement is true.
• Fifth statement: \(425.68\) (City D) is the lowest among \(1414\), \(2025.1\), \(1397.41\), \(425.68\). So this statement is true.

Answer:

The first statement (The population density for City B can be found using the ratio \(40502:20\)), the fourth statement (The population density of City B is greater than that of City C), and the fifth statement (City D has the lowest population density of the four cities) are true.