Understanding Constant Rates and Proportionality

The video tutorial covers the concept of linear and proportional graphs, focusing on identifying proportional graphs through constant ratios. It explains that a proportional graph is a special type of linear graph that starts at the origin and maintains a constant ratio. The tutorial provides examples to differentiate between proportional and non-proportional graphs, emphasizing the importance of checking for a constant ratio to determine proportionality. The lesson concludes with additional examples to reinforce the concepts discussed.

What is a constant rate of change?

• A rate that decreases over time

• A rate that increases over time

• A rate that remains the same over time

• A rate that varies over time

What is a characteristic of a proportional linear graph?

• It has a curved line

• It starts at the origin and forms a straight line

• It has a negative slope

• It starts at any point on the graph

How can you determine if a graph is proportional?

• By checking if it forms a curved line

• By checking if it has a constant rate of change

• By checking if it has a negative slope

• By checking if it starts at the origin and has a constant ratio

In the example given, what was the constant rate of change for the Fahrenheit to Celsius conversion?

• 5 over 9

• 9 over 5

• 5 over 10

• 10 over 5

What was the constant ratio found in the second example?

• 2.2

• 3.4

• 1.5

• 0.45

What happens if a graph is not linear?

• It can still be proportional

• It cannot be proportional

• It will have a constant rate

• It will start at the origin