Direct Variation Concepts and Problems

The video tutorial explains the concept of direct variation, where Y varies directly with X. It begins by introducing the problem: finding the direct variation equation given that X=6 when Y=30, and then determining Y when X=8. The tutorial walks through the steps to find the constant of variation, K, by substituting known values into the equation Y=K*X. After calculating K as 5, the direct variation equation is established as Y=5*X. The tutorial then uses this equation to find that Y equals 40 when X is 8, concluding with a summary of the solution process.

What does it mean when we say Y varies directly with X?

• Y is always greater than X

• Y is a constant multiple of X

• Y is inversely proportional to X

• Y is equal to X

If Y varies directly with X, and Y = 30 when X = 6, what is the constant of variation?

• 30

• 3

• 5

• 6

How do you find the constant of variation K in a direct variation equation?

• Multiply Y by X

• Divide Y by X

• Add Y and X

• Subtract X from Y

What is the direct variation equation derived from Y = 30 when X = 6?

• Y = X + 5

• Y = 30X

• Y = 5X

• Y = 6X

Using the direct variation equation Y = 5X, what is Y when X = 8?

• 50

• 45

• 40

• 35

If the direct variation equation is Y = 5X, what happens to Y if X is doubled?

• Y remains the same

• Y is halved

• Y is doubled

• Y is quadrupled