Proportional Relationships and Rates

The video tutorial by Mrs. Zaia covers the concept of unit rate as the constant of proportionality. It includes three examples: calculating deer population density in a forest, determining the number of cookies per sheet and baking time, and calculating the number of eggs needed for making crepes. The lesson emphasizes understanding the unit rate and its application in real-world scenarios.

What is another term for the unit rate in a proportional relationship?

• Variable

• Independent Variable

• Constant of Proportionality

• Dependent Variable

If there are 144 deer in 16 square miles, what is the population density per square mile?

• 10 deer per square mile

• 9 deer per square mile

• 11 deer per square mile

• 8 deer per square mile

How many deer would you expect to find in 207 square miles if the density is 9 deer per square mile?

• 1,800 deer

• 2,000 deer

• 1,863 deer

• 1,900 deer

How many cookies can be baked on four cookie sheets if each sheet holds 18 cookies?

• 80 cookies

• 72 cookies

• 90 cookies

• 64 cookies

What is the unit rate of cookies per sheet if 36 cookies are baked on 2 sheets?

• 16 cookies per sheet

• 18 cookies per sheet

• 20 cookies per sheet

• 22 cookies per sheet

If it takes 2 hours to bake 8 sheets of cookies, how long will it take to bake 16 sheets?

• 3 hours

• 4 hours

• 5 hours

• 6 hours

If you need to make 288 cookies, how many sheets will you need if each sheet holds 18 cookies?

• 14 sheets

• 15 sheets

• 17 sheets

• 16 sheets

What is the relationship between the number of cookies and the number of sheets used?

• Inverse

• Proportional

• Exponential

• Linear

How many eggs are needed to make 50 crepes if 1 egg is needed for 10 crepes?

• 7 eggs

• 4 eggs

• 5 eggs

• 6 eggs

What is the constant of proportionality when 2 eggs make 20 crepes?

• 0.1

• 0.2

• 1

• 2