Understanding Direct and Inverse Variation

The video tutorial introduces direct and inverse variation using TAA tables. It explains how to identify direct variation, where both variables increase at a constant rate, and inverse variation, where one variable increases while the other decreases. Examples are provided to illustrate each type of variation, and the method to determine the constant K is discussed. The tutorial concludes with a summary of the key concepts.

What is the main focus of the video tutorial?

• Exploring geometric shapes

• Learning about linear equations

• Understanding direct and inverse variation

• Solving quadratic equations

In a direct variation, what happens to Y as X increases?

• Y decreases

• Y remains constant

• Y becomes zero

• Y increases

Which of the following is true for inverse variation?

• Both X and Y increase

• X increases while Y decreases

• Both X and Y decrease

• X decreases while Y increases

What is the constant of variation (K) in a direct variation if Y = 3X?

• 1

• 2

• 3

• 4

If X is 5 in a direct variation where Y = 3X, what is Y?

• 15

• 25

• 10

• 20

What pattern is observed in a direct variation?

• Addition

• Subtraction

• Multiplication

• Division

What is the equation form for a direct variation?

• Y = X - K

• Y = K/X

• Y = K + X

• Y = KX

How do you determine the constant of variation (K) in an inverse variation?

• By dividing X by Y

• By adding X and Y

• By subtracting X from Y

• By multiplying X and Y

In an inverse variation, if X is 4 and Y is 2, what is the value of K?

• 8

• 12

• 6

• 10

In the example given, what is the relationship between 1 and 8 in inverse variation?

• They are factors

• They are reciprocals

• They are multiples

• They are equal