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 between Y and X?

What does the constant K represent in the context of direct variation?

Explain how to determine if a set of Y and X values represents direct variation.

Given the values 22/11, 32/16, and 42/7, explain why they do or do not represent direct variation.

What conclusion can be drawn if the constant K is not equal for different pairs of Y and X?