Exploring Constant Rate of Change Concepts

The video tutorial covers the concept of linear relationships and constant rate of change. It explains how to determine if a relationship is linear and find the constant rate of change using examples like songs over time and Rodrigo's earnings. It also discusses non-linear relationships and how to identify them. The tutorial concludes with an exploration of proportional relationships, emphasizing the importance of constant ratios.

What is a linear relationship?

• A relationship that changes randomly

• A relationship that forms a curved line on a graph

• A relationship that forms a straight line on a graph

• A relationship that has no pattern

What does the constant rate of change mean in a linear relationship?

• The rate of change is the same between any two points

• The rate of change varies between points

• The rate of change is negative

• The rate of change is zero

In the example with the number of songs and time, what is the rate of change?

• 2 songs per minute

• 1 song per minute

• 4 songs per minute

• 3 songs per minute

How can you determine if a relationship is linear without graphing?

• By checking if the changes in one variable are different

• By checking if the changes in one variable are constant

• By checking if the changes in both variables are different

• By checking if the changes in both variables are constant

What is the constant rate of change in Rodrigo's earnings example?

• $10 per hour

• $16 per hour

• $14 per hour

• $12 per hour

Why is the relationship between distance and time in the second example not linear?

• Because the change in time is not constant

• Because the change in time is constant

• Because the change in distance is not constant

• Because the change in distance is constant

What is a proportional linear relationship?

• A relationship with a constant ratio and variable rate of change

• A relationship with a variable ratio and variable rate of change

• A relationship with a variable ratio and constant rate of change

• A relationship with a constant ratio and constant rate of change

In the proportional relationship example, what is the cost per hour?

• $5 per hour

• $3 per hour

• $2 per hour

• $4 per hour

How do you determine if a relationship is proportional?

• By checking if the ratios of the quantities are different

• By checking if the changes in the quantities are the same

• By checking if the ratios of the quantities are the same

• By checking if the changes in the quantities are different

What is the ratio of cost to time in the proportional relationship example?

• 2 cents per hour

• 3 cents per hour

• 4 cents per hour

• 5 cents per hour