How to determine if a table represents direct variation

The video tutorial explains the concept of direct variation, where one variable is a constant multiple of another. It describes how to represent this relationship mathematically using equations like y = K * X or y / X = K, where K is the constant. The tutorial then demonstrates how to check for direct variation in a table by ensuring the ratio y / X is consistent across all data points. An example is provided to illustrate the process, showing that if the constant K is not equal for all pairs, the relationship is not a direct variation.

What is the mathematical representation of direct variation?

• y = K - X

• y = K / X

• y = K * X

• y = K + X

How can you verify if two variables exhibit direct variation?

• By checking if y - X is constant

• By checking if y * X is constant

• By checking if y / X is constant

• By checking if y + X is constant

In the context of direct variation, what does the constant K represent?

• The ratio of y to X

• The product of y and X

• The difference between y and X

• The sum of y and X

What is the result of 22 divided by 11 in the example provided?

• 4

• 3

• 2

• 1

Why does the example fail to demonstrate direct variation?

• Because the product y * X is not constant

• Because the values of y are not integers

• Because the values of X are not integers

• Because the ratio y / X is not constant