Inverse Variation Concepts and Problems

The video tutorial explains inverse variation, using the equation Y = K/X, where K is the variation constant. It demonstrates how to find K by substituting given values of Y and X, and then rewriting the equation with the determined constant. Finally, it shows how to calculate Y for a specific value of X using the inverse variation equation.

What type of variation is described when Y varies inversely as X?

• Combined variation

• Direct variation

• Inverse variation

• Joint variation

Which equation represents inverse variation?

• Y = K / X

• Y = X / K

• Y = K + X

• Y = K * X

If Y = 3 when X = 10, what is the value of the variation constant K?

• 10

• 30

• 1

• 3

How can the equation X * Y = K be used in the context of inverse variation?

• To find the sum of X and Y

• To find the value of X

• To find the value of Y

• To find the variation constant K

What is the rewritten inverse variation equation when K = 30?

• Y = 30 / X

• Y = 30 * X

• Y = X / 30

• Y = X + 30

What is the value of Y when X = 6 using the inverse variation equation Y = 30 / X?

• 5

• 30

• 6

• 1

In the context of inverse variation, what happens to Y as X increases?

• Y remains constant

• Y decreases

• Y becomes zero

• Y increases

If the variation constant K is doubled, what happens to the value of Y for a given X?

• Y is doubled

• Y is halved

• Y becomes zero

• Y remains the same