Direct and Inverse Variation Concepts

The video tutorial explains the concepts of direct and inverse variation, focusing on their equations and constants of variation. Direct variation is represented by equations of the form y = kx, where k is the constant of variation. Inverse variation is represented by equations of the form y = a/x. The tutorial demonstrates how to solve for the constant of variation in both types of equations and provides examples to illustrate these concepts. By dividing or multiplying values, one can determine whether a relationship is direct or inverse variation.

What is the general form of a direct variation equation?

• y = K * X

• y = K - X

• y = K / X

• y = K + X

In a direct variation, what does the constant of variation represent?

• The relationship between the variables

• The difference between the variables

• The product of the variables

• The sum of the variables

What is the general form of an inverse variation equation?

• y = a + X

• y = a - X

• y = a / X

• y = a * X

How do you solve for the constant of variation in a direct variation equation?

• Multiply both sides by X

• Divide both sides by X

• Add X to both sides

• Subtract X from both sides

In an inverse variation, if you multiply the X and Y values and get the same constant, what does it indicate?

• Linear variation

• Direct variation

• No variation

• Inverse variation

What operation is used to test for direct variation?

• Division

• Subtraction

• Addition

• Multiplication

If dividing Y by X gives the same constant each time, what type of variation is it?

• Exponential variation

• No variation

• Direct variation

• Inverse variation

In a direct variation, if X is 4 and the constant is 3, what is Y?

• 7

• 12

• 1

• 3

What does it mean if the quotient of Y and X is not constant in a direct variation test?

• It is a direct variation

• It is an inverse variation

• It is a linear variation

• It is not a direct variation

If Y = 3X in a direct variation, what is the constant of variation?

• 3

• 4

• 2

• 1