Exploring Constant Rate of Change Concepts

The video tutorial explains the concept of constant rate of change, using examples like lines of code and cost, students and buses, and Ramona and Josh's earnings. It covers how to calculate the rate of change using data tables and graphs, emphasizing the importance of consistent change. The tutorial also highlights the significance of understanding the constant rate of change in real-world scenarios.

What is the constant rate of change?

• The maximum value a quantity can reach.

• The initial value of a quantity.

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

• The total amount of change over a period of time.

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 much did the cost increase each time in the example of lines of code and cost?

• $1500

• $500

• $2000

• $1000

What is the first step in calculating the constant rate of change using a data table?

• Plot the data on a graph.

• Ensure the data increases or decreases by the same amount each time.

• Find the unit rate.

• Divide the total change by the number of steps.

In the car wash example, what was the constant rate of change?

• $5 per car

• $12 per car

• $10 per car

• $8 per car

When using a graph, what should you always put on the vertical axis?

• The vertical change (Y)

• The initial value

• The total change

• The horizontal change (X)

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

• 90 miles per hour

• 120 miles per hour

• 30 miles per hour

• 60 miles per hour

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

• 120 miles in 2 hours

• 0 miles in 1 hour

• 0 miles in 0 hours

• 60 miles in 1 hour

How much did Ramona earn per hour for babysitting?

• $10

• $12

• $8

• $9

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

• Neither charged per hour

• Both charged the same

• Josh

• Ramona