Understanding the Constant of Proportionality

The video tutorial explains how to find the constant of proportionality from graphs, which is the rate at which a graph changes. It introduces the concept using examples, such as ticket costs and walking rates, and explains how to calculate it as a unit rate or slope. The tutorial also includes a practice problem on converting feet and yards.

What is the constant of proportionality often referred to as?

• Slope

• Vertex

• Axis

• Intercept

What is the first step in finding the constant of proportionality from a graph?

• Pick a point on the graph

• Identify the y-intercept

• Find the midpoint of the line

• Calculate the area under the curve

In the context of graphs, what does a straight line passing through the origin indicate?

• Exponential relationship

• Quadratic relationship

• Proportional relationship

• Non-proportional relationship

Which point is used in the example to find the constant of proportionality?

• (4, 120)

• (2, 61)

• (3, 90)

• (1, 30)

How do you calculate the constant of proportionality from a graph?

• Divide y by x

• Multiply x and y values

• Add x and y values

• Subtract x from y

What is the constant of proportionality in the example with the unlabeled graph?

• 2

• 1

• 4

• 3

In the example of Mrs. Johnston's walking rate, what is the constant of proportionality?

• 3.0

• 1.5

• 2.0

• 2.5

What does the constant of proportionality represent in Mrs. Johnston's walking rate example?

• Miles per hour

• Hours per mile

• Miles per minute

• Minutes per mile

What is the simplified form of the ratio 5 over 2 in the walking rate example?

• 2.0

• 2.5

• 3.0

• 3.5

What should students do after watching the video to practice the concept?

• Create a graph from scratch

• Memorize the definition of slope

• Write an essay on proportionality

• Solve a problem involving converting feet and yards