Algebra 2 - Write the equation to model inverse variation given x and y

The video tutorial explains inverse variation, starting with the formula y = K / X. It emphasizes the importance of knowing this formula as it won't be provided. The teacher demonstrates how to solve for the constant K using given values of X and Y, and then models the inverse variation equation. The final equation is presented, showing how to apply the concept to any X and Y values.

What is the formula for inverse variation?

• y = K * X

• y = K / X

• y = X / K

• y = X + K

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

• The slope of the line

• The x-intercept

• The constant of change

• The y-intercept

If X = 4 and Y = 12 in an inverse variation, what is the value of K?

• 36

• 16

• 24

• 48

How do you solve for K when given X and Y in an inverse variation?

• Divide Y by X

• Add X and Y

• Multiply X and Y

• Multiply Y by X

What is the final equation for inverse variation if K = 48?

• y = 48 * X

• y = 48 / X

• y = X / 48

• y = X + 48