Finding the Constant of Proportionality from Labeled Diagrams

The video tutorial explains how to identify the constant of proportionality from labeled diagrams by writing an equation of the form y = mx and solving for m. It emphasizes the importance of understanding pi as an irrational number and its approximation as 3.14. The tutorial uses examples from nanotechnology, specifically circular wafers, to illustrate the application of these concepts. It guides viewers through calculating ratios and writing equations for different types of wafers, reinforcing the understanding of proportionality and its practical applications.

What is the constant of proportionality in the equation y = mx?

• The value of y divided by x

• The value of x divided by y

• The sum of x and y

• The difference between x and y

Why is pi not exactly equal to 3.14?

• Because pi is a rational number

• Because pi is an irrational number

• Because pi is a whole number

• Because pi is a fraction

What is the approximate value of pi used in calculations?

• 3.142

• 3.14

• 3.14159

• 3.141

In Joe's nanotechnology work, what is the dependent variable when calculating the constant of proportionality?

• The diameter of the wafer

• The circumference of the wafer

• The radius of the wafer

• The area of the wafer

How is the constant of proportionality calculated for Joe's wafers?

• By dividing the diameter by the circumference

• By multiplying the diameter and circumference

• By adding the diameter and circumference

• By dividing the circumference by the diameter