Exploring Constant Rate of Change in Graphs

The video tutorial covers the concept of constant rate of change in graphs. It begins with an introduction to the learning target, which is to find the constant rate of change. The tutorial explains different ways to represent the rate of change, including using graphs and mathematical expressions. Instructions are provided for completing a graphing activity, followed by a detailed example using running distances. The video demonstrates how to calculate and simplify the constant rate of change, and concludes with guidance on where to find additional help if needed.

What is another term used for the constant rate of change in a graph?

• Slope

• Intercept

• Vertex

• Axis

Which of the following represents the constant rate of change?

• Change in y over change in x

• Sum of x and y

• Product of x and y

• Change in x over change in y

What is the first step in completing the slides?

• Use the graph to write titles for the x and y axes

• Find the constant rate of change

• Simplify if needed

• Write three ordered pairs from the graph

What should be written on the x-axis for the running distances example?

• Time in hours

• Speed in meters per second

• Distance in kilometers

• Height in meters

What is the ordered pair for the point where x is 40?

• (40, 4)

• (40, 2)

• (40, 6)

• (40, 0)

How do you find the change in y for the constant rate of change?

• Add the y-values

• Multiply the y-values

• Subtract the y-values

• Divide the y-values

What is the change in y from 2 to 4?

• 3

• 2

• 4

• 1

What is the change in x from 40 to 80?

• 20

• 30

• 40

• 50

What is the simplified constant rate of change for the given example?

• 1/30

• 1/20

• 1/10

• 1/40

What does a constant rate of change of 1/20 mean in the context of the example?

• For every 20 kilometers, 1 hour has passed

• For every 1 kilometer, 20 hours have passed

• For every 10 kilometers, 2 hours have passed

• For every 2 kilometers, 10 hours have passed