Proportional Relationships and Constants

The video tutorial explains how to determine if an equation represents a proportional relationship by checking if it can be written in the form y = kx, where k is the constant of proportionality. It provides examples of both proportional and non-proportional equations, such as y = 4x and y = x/4 being proportional, while y = 4 + x and y = 4/x are not. The tutorial also covers real-life examples, like converting inches to centimeters, to illustrate the concept.

What is the constant of proportionality represented by in equations?

• x

• a

• b

• k

Which of the following equations represents a proportional relationship?

• y = 4 + x

• y = 4x

• y = 4 - x

• y = x + 4

In the equation y = 4x, what is the constant of proportionality?

• 1

• 4

• 2

• 3

Which equation is not a proportional relationship?

• y = x/4

• y = 4x

• y = 4/x

• y = 1/4x

What is the constant of proportionality in the equation y = x/4?

• x

• 4

• 1/4

• 1

Why is y = 4^x not a proportional relationship?

• It has a constant of proportionality

• It is an exponential equation

• It is a linear equation

• It has a unit rate

In the equation y = x^4, what is the result of y/x when x = 2?

• 4

• 16

• 2

• 8

What form must an equation take to represent a proportional relationship?

• y = x^k

• y = kx

• y = x + k

• y = k/x

Which real-life conversion is a proportional relationship?

• Celsius to Fahrenheit

• Inches to centimeters

• Miles to kilometers

• Pounds to kilograms

What is the constant of proportionality when converting inches to centimeters?

• 0.5

• 3.14

• 1

• 2.54