Exploring Constant Rate of Change Concepts

The video tutorial introduces the concept of constant rate of change, explaining how it describes the relationship between two quantities. It provides examples using lines of code and cost, and demonstrates how to calculate the constant rate of change using data tables and graphs. The tutorial concludes with practical examples, such as comparing babysitting earnings, to reinforce understanding.

What is the constant rate of change?

• The rate at which one quantity changes in relation to another

• The initial value of a quantity

• The total amount of change in a quantity

• The final value of a quantity

In the example of lines of code and cost, what was the constant rate of change for the lines of code?

• 100

• 50

• 200

• 150

How do you determine if a data set has a constant rate of change?

• By checking if the data points are all even numbers

• By ensuring the data increases or decreases by the same amount each time

• By calculating the average of the data points

• By looking at the highest and lowest values

What is the unit rate in the car washing example?

• $10 per car

• $12 per car

• $5 per car

• $8 per car

In the student transportation example, what is the constant rate of change?

• 80 students per bus

• 72 students per bus

• 60 students per bus

• 50 students per bus

When using a graph to determine the constant rate of change, what should you always put on the vertical axis?

• The total change

• The initial value

• The horizontal change (X)

• The vertical change (Y)

In the highway travel example, what is the constant rate of change?

• 60 miles per hour

• 50 miles per hour

• 70 miles per hour

• 80 miles per hour

What does the point (0,0) represent in the context of the highway travel example?

• 60 miles in 1 hour

• 0 miles in 1 hour

• 0 miles in 0 hours

• 60 miles in 0 hours

Who charged more per hour for babysitting, Ramona or Josh?

• Ramona

• Josh

• Neither charged by the hour

• Both charged the same

What was Josh's hourly rate for babysitting?

• $9 per hour

• $12 per hour

• $8 per hour

• $10 per hour