Master writing a direct variation equation given y and x varying directly

The video tutorial explains how to determine the equation for direct variation between two variables, X and Y, and how to find the constant K. It provides examples of solving for K using given values of X and Y, including handling fractions. The tutorial concludes with a final example, reinforcing the concept of direct variation and the calculation of the constant K.

What is the equation used to represent direct variation between two variables X and Y?

• Y = K + X

• Y = K - X

• Y = K * X

• Y = X / K

If Y = 12 and X = 2 in a direct variation, what is the value of the constant K?

• K = 4

• K = 5

• K = 6

• K = 7

When dealing with fractions in direct variation, what operation is used to isolate the constant K?

• Addition

• Subtraction

• Multiplication by the reciprocal

• Division by the reciprocal

In the example where Y = -10 and X = 2/3, what is the value of K?

• K = -10

• K = -5

• K = -20

• K = -15

If the constant K is a fraction, such as 2/9, how should the direct variation equation be written?

• Y = 9/2 X

• Y = 2/9 X

• Y = 2/9 + X

• Y = 9/2 + X