Constant of Proportionality Concepts

The video tutorial explains the concept of constant of proportionality, introducing two main formulas: y = KX and K = y/x. It outlines steps to calculate the constant of proportionality, particularly in equations, by solving for y and identifying the coefficient of x. The tutorial provides examples using four options to find the constant of proportionality, ultimately identifying option D as the correct answer with a constant of 4.

What is the primary formula associated with the constant of proportionality?

• y = KX

• K = y + x

• y = x/K

• K = x - y

Which formula is more suitable for use with graphs?

• y = KX

• K = y/x

• y = x + K

• K = y - x

When dealing with equations, which formula should you use to find the constant of proportionality?

• K = x/y

• K = y/x

• y = x - K

• y = KX

What is the first step in calculating the constant of proportionality from an equation?

• Extract the coefficient of x

• Solve for x

• Solve for y

• Multiply both sides by K

What do you do after solving for y in the equation y = KX?

• Subtract y from both sides

• Add x to both sides

• Extract the coefficient of x

• Divide by K

Which of the following is NOT a step in finding the constant of proportionality?

• Extract the coefficient of x

• Divide both sides by the coefficient of y

• Multiply both sides by x

• Solve for y

In the context of constant of proportionality, what does the coefficient of x represent?

• The x-intercept

• The y-intercept

• The constant of proportionality

• The slope

What is the constant of proportionality if y = 3x?

• 3

• 1

• 0

• 4

If the equation is y = 5x, what is the constant of proportionality?

• 4

• 0

• 1

• 5

What is the constant of proportionality in the equation y = 7x?

• 0

• 1

• 7

• 4