Population Density and Proportional Relationships

The video tutorial covers the concept of unit rate as the constant of proportionality. It begins with an introduction to the topic, followed by examples involving deer population, cookies and sheets, and crepes and eggs. Each example demonstrates how to calculate the unit rate and apply it to solve real-world problems. The tutorial emphasizes the importance of understanding the relationship between quantities and how to use the unit rate formula effectively.

What is another term for the constant that relates two quantities in a proportional relationship?

• Ratio

• Unit Rate

• Variable

• Slope

In the deer population example, what is the population density of deer per square mile?

• 8 deer per square mile

• 9 deer per square mile

• 10 deer per square mile

• 11 deer per square mile

What formula is used to calculate the unit rate in the deer population example?

• x/y

• y/x

• x+y

• y-x

How many deer would be found in 207 square miles if the population density is constant?

• 2,000 deer

• 1,800 deer

• 1,900 deer

• 1,863 deer

In the cookies example, how many cookies can fit on one cookie sheet?

• 12 cookies

• 18 cookies

• 24 cookies

• 36 cookies

If Brandon needs to make 288 cookies, how many cookie sheets will he need?

• 16 sheets

• 12 sheets

• 18 sheets

• 14 sheets

How long will it take to bake all the cookies if it takes 2 hours to make 8 sheets?

• 3 hours

• 5 hours

• 4 hours

• 6 hours

In the crepes example, how many crepes can be made with one egg?

• 20 crepes

• 15 crepes

• 10 crepes

• 5 crepes

How many eggs are needed to make 50 crepes?

• 3 eggs

• 4 eggs

• 5 eggs

• 6 eggs

What does the constant of proportionality represent in the crepes example?

• 10 crepes per egg

• 5 crepes per egg

• 15 crepes per egg

• 20 crepes per egg