Understanding Constants of Proportionality

The video tutorial explains the concept of constant of proportionality, demonstrating how to identify it in equations. It starts with an example where the equation 4y = 8x is manipulated to solve for y, revealing the constant of proportionality as 2. The tutorial then presents another example, asking which equation has a constant of proportionality of one-half. By solving each equation, it identifies the correct choice, reinforcing the understanding of the concept.

What is the constant of proportionality in the equation 4y = 8x?

• 8

• 4

• 2

• 1

How do you solve for y in the equation 4y = 8x to find the constant of proportionality?

• Multiply both sides by 4

• Divide both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

What operation is performed to isolate y in the equation 4y = 8x?

• Division

• Subtraction

• Multiplication

• Addition

In the equation y = 2x, what is the constant of proportionality?

• 3

• 2

• 4

• 1

Which equation has a constant of proportionality equal to one-half?

• y = 1/2x

• y = 3x

• y = 4x

• y = 1/8x

What is the constant of proportionality in the equation y = 3/6x?

• 1/3

• 1/4

• 1/2

• 1

Why is equation y = 4x not the correct choice for a constant of proportionality of one-half?

• The constant is 1/2

• The constant is 3

• The constant is 4

• The constant is 1/8

What is the constant of proportionality in the equation y = 9/3x?

• 1

• 2

• 3

• 4

How can you verify the constant of proportionality in an equation?

• By solving for y and checking the coefficient of x

• By dividing both sides by the constant

• By multiplying both sides by the constant

• By adding the constant to both sides

What is the constant of proportionality in the equation y = 3x?

• 4

• 2

• 1

• 3