The Graph of a Proportional Relationship | 8.EE.B.5

The video tutorial explores how to identify a proportional relationship using graphs. It presents a scenario where water fills a teapot at a constant rate, and the task is to determine which graph accurately represents this relationship. The instructor guides viewers through analyzing each graph, focusing on the starting point and rate of change, ultimately concluding that graph A is correct. The lesson emphasizes understanding proportional relationships and graph interpretation.

What is the rate at which the teapot is filled with water?

• 3 fluid ounces per second

• 2 fluid ounces per second

• 4 fluid ounces per second

• 5 fluid ounces per second

Which graph characteristic indicates that the teapot starts empty?

• The graph starts at the origin

• The graph has a steep slope

• The graph starts at a high point

• The graph is a horizontal line

Why was graph B eliminated from consideration?

• It starts at the origin

• It shows the teapot already has water at the start

• It has a negative slope

• It is a curved line

What ordered pair represents the amount of water after 2 seconds?

• (2, 10)

• (2, 8)

• (2, 6)

• (2, 4)

How can you confirm that a graph represents a proportional relationship?

• By checking if it starts at a random point

• By checking if it passes through the origin and follows a constant rate

• By ensuring it is a vertical line

• By verifying it has multiple curves