Constant of Proportionality Using Graphs

Graphs, Constants, & Proportional Relatioinships!

Wednesday 2-10-2021

Poll

How are you feeling today? :)

• Awesome! 😁

• Okay. 👍

• Tired 😴

• 😢

Review: Proportional Graphs

• The graph to the right represents a proportional relationship because:

• 1. It goes through the origin (0,0)

• 2. It makes a straight line.

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Multiple Choice

Does the graph represent a proportional relationship?

• Yes, it is proportional.

• No, it is NOT proportional.

Constants & Graphs

•  In graphs of proportional relationships, the point (1, y)  shows that `y` is the constant of proportionality. 

• For example, in the graph on the right, the point (1, 6) tells us that the constant of proportionality is 6.

Multiple Choice

Based on the graph, what is the constant of proportionality?

• 1

• 12

• 24

Multiple Choice

Based on the graph, what is the constant of proportionality?

• 1

• 3

• 6

Open Ended

Based on the graph, what is the constant of proportionality?

Multiple Choice

What does the point (2, 12) tell us?

• For 2 pounds it cost $12

• It costs $2 for 12 pounds.

Multiple Choice

What does the point (4, 48) tell us?

• It costs $4 to rent a canoe for 48 hours

• To rent a canoe for 4 hours it cost $48.