Algebra 2 - Determining direct variation from a table

The video tutorial explains how to determine if a function is an example of direct variation. It introduces the concept of direct variation, represented by the equation Y = KX, where K is the constant. The tutorial provides a step-by-step example using a table of values to check if the K value remains consistent across different pairs of X and Y. If the K value is the same, it confirms direct variation. The example concludes with rewriting the equation using the determined K value.

What is the equation that represents direct variation?

• Y = X / K

• Y = K - X

• Y = X + K

• Y = KX

In a direct variation, what must remain constant for all pairs of X and Y values?

• The ratio of Y to X

• The sum of X and Y

• The product of X and Y

• The difference between X and Y

If Y = 9 and X = 27, what is the value of K in the direct variation equation?

• 1/5

• 1/2

• 1/4

• 1/3

Which of the following is NOT a characteristic of direct variation?

• Y is inversely proportional to X

• K is constant for all X and Y pairs

• Y is directly proportional to X

• The graph is a straight line through the origin

How can you rewrite the direct variation equation if K is found to be 1/3?

• Y = X + 3

• Y = 3X

• Y = X/3

• Y = 1/3X