Understanding Proportional Relationships: Relating Graphs and Equations

The video tutorial explains proportional relationships by connecting graphs and equations. It begins with an introduction to proportional relationships and unit rates, using examples like potato salad pricing. Common mistakes in identifying unit rates are discussed, emphasizing the importance of correctly identifying independent variables. The tutorial then explores methods to compare graphs and equations to verify proportionality, using ordered pairs and unit rates. Finally, it demonstrates how to create graphs from equations using unit rates, reinforcing the understanding of proportional relationships.

What is the unit rate for the proportional relationship of $8 for 2 pounds of potato salad?

• $2 per pound

• $3 per pound

• $4 per pound

• $5 per pound

In a unit rate of 3 miles per hour, which variable is independent?

• Distance

• Speed

• Hours

• Miles

When plotting a graph for 3 miles per hour, which axis should time be placed on?

• X-axis

• None

• Y-axis

• Z-axis

How can you verify if a graph and an equation represent the same proportional relationship?

• By measuring the graph's length

• By checking the color of the graph

• By counting the number of lines

• By testing specific ordered pairs

What is the unit rate in the equation c = 4w?

• 2

• 3

• 4

• 5

What is the equation for a proportional relationship of 3 miles per hour?

• t = d/3

• t = 3d

• d = t/3

• d = 3t

How can you quickly create a graph from the equation d = 3t?

• By drawing random points

• By using the unit rate

• By guessing the values

• By using a calculator