Understanding Proportional Relationships and Rates

The video tutorial by Mrs. Zapia covers Eureka Math Lesson 10, focusing on interpreting graphs of proportional relationships. It uses a chocolate chip cookie recipe to explain how to create tables and graphs to analyze proportional relationships. The lesson includes calculating unit rates, graphing data, and writing equations to represent these relationships. It also explores the concept of proportionality in different contexts, such as sugar usage in recipes and water usage in showers.

If you double the amount of flour in the recipe, how many dozen cookies will you get?

• Eight dozen

• Six dozen

• Twelve dozen

• Four dozen

What is the unit rate of cookies to flour in the given recipe?

• 0.75

• 2.0

• 1.5

• 1.3 repeating

How do you determine if two quantities are proportional using a graph?

• Check if the graph is a straight line that passes through the origin

• Check if the graph is a curve

• Check if the graph has multiple lines

• Check if the graph is a straight line that does not pass through the origin

In the sugar and cookies example, what does the ordered pair (2, 3) represent?

• 2 cups of sugar and 3 cups of sugar

• 2 dozen cookies and 3 cups of sugar

• 2 cups of sugar and 3 dozen cookies

• 2 dozen cookies and 3 dozen cookies

What is the unit rate of cookies to sugar in the sugar and cookies example?

• 0.5

• 1.3

• 2.0

• 1.5

What is the ordered pair for no sugar and no cookies?

• (0, 0)

• (1, 1)

• (2, 2)

• (3, 3)

In the water usage example, how long can a person shower with 15 gallons of water?

• 20 minutes

• 5 minutes

• 10 minutes

• 15 minutes

What is the unit rate of minutes per gallon in the water usage example?

• 1/3

• 2/3

• 1/2

• 1

What does the point (30, 10) represent in the context of the water usage example?

• 30 gallons of water for a 10-minute shower

• 10 gallons of water for a 30-minute shower

• 10 minutes of shower with 30 gallons of water

• 30 minutes of shower with 10 gallons of water

What is the equation representing the relationship between gallons of water and shower time?

• y = 1/3x

• y = 3x

• y = x + 3

• y = x - 3