Population Density and Area Calculations

The video tutorial explains population density, focusing on calculating unit rates and using proportions to solve problems. It covers converting area units from square feet to square meters and understanding the impact of square units on density. The tutorial provides practical examples, such as determining how many people can live in a given area, and emphasizes the importance of equivalent fractions and ratios in these calculations.

What is the initial ratio of people to square feet used by the city planner?

• 8 people per 1600 square feet

• 5 people per 1000 square feet

• 10 people per 2000 square feet

• 6 people per 1500 square feet

How do you convert a fraction into a unit rate?

• Add the numerator and denominator

• Divide the numerator by the denominator

• Multiply the numerator by 100

• Subtract the denominator from the numerator

What is the space allotted per person in square feet?

• 150 square feet

• 250 square feet

• 200 square feet

• 300 square feet

What is the result of using a proportion to find the area needed for 72 people?

• 20,000 square feet

• 15,000 square feet

• 18,000 square feet

• 25,000 square feet

How many people can live in an area of 150,000 square feet?

• 500 people

• 700 people

• 800 people

• 600 people

What is the conversion factor from square feet to square meters?

• 1 square foot = 1.1 square meters

• 1 square foot = 0.93 square meters

• 1 square foot = 0.8 square meters

• 1 square foot = 0.5 square meters

What is the approximate area in square meters for 150,000 square feet?

• 14,500 square meters

• 15,000 square meters

• 13,950 square meters

• 12,000 square meters

What is the population density in people per square meter?

• 0.40 people per square meter

• 0.50 people per square meter

• 0.35 people per square meter

• 0.43 people per square meter

Why is the number of people per square meter larger than per square foot?

• Square meters are larger than square feet

• People take up more space in square meters

• The conversion factor is incorrect

• Square meters are smaller than square feet

What remains the same when comparing population densities in different units?

• The size of the area

• The number of people

• The balance of people per area

• The conversion factor