Types of Variation in Equations

The video tutorial explains how to classify equations as direct or inverse variations. Direct variation is described as y = Kx, where both variables increase together. Inverse variation is y = K/x, where one variable increases as the other decreases. The tutorial provides examples to illustrate these concepts, showing how to manipulate equations to identify the type of variation. It concludes with a summary of the key differences between direct and inverse variations.

What is the form of a direct variation equation?

• y = k/x

• y = kx

• y = x/k

• y = x + k

In a direct variation, what happens to one variable when the other increases?

• It decreases

• It becomes zero

• It remains constant

• It increases

How can you transform the equation y = kx to another form?

• Multiply both sides by x

• Divide both sides by y

• Divide both sides by x

• Add k to both sides

What is the form of an inverse variation equation?

• y = k/x

• y = kx

• y = x/k

• y = x + k

In an inverse variation, what happens to one variable when the other increases?

• It increases

• It becomes zero

• It remains constant

• It decreases

How can you transform the equation y = k/x to another form?

• Add k to both sides

• Subtract x from both sides

• Multiply both sides by x

• Divide both sides by y

In the equation M = 5P, what type of variation is represented?

• Exponential variation

• No variation

• Direct variation

• Inverse variation

In the equation C = P / -4, what type of variation is represented?

• No variation

• Direct variation

• Exponential variation

• Inverse variation

In the equation R = 9/T, what type of variation is represented?

• Direct variation

• Inverse variation

• No variation

• Exponential variation

In the equation y = W/18, what type of variation is represented?

• No variation

• Inverse variation

• Exponential variation

• Direct variation