Inverse Variation and Reciprocal Functions

The video tutorial explains the concept of inverse variation, where Y varies inversely as X, using the equation Y = K/X. It demonstrates how to find the variation constant K by multiplying given values of X and Y. The tutorial then shows how to use the inverse variation equation to find the value of Y when X is given, by substituting the known values into the equation and simplifying the result.

What does it mean when Y varies inversely as X?

• Y remains constant as X changes

• Y decreases as X increases

• Y is unrelated to X

• Y increases as X increases

Which equation represents inverse variation?

• Y = K * X

• Y = K + X

• Y = K / X

• Y = X / K

If Y = 1/2 when X = 2/3, what is the product of X and Y?

• 2/3

• 1/3

• 1/6

• 1

What is the value of the variation constant K if Y = 1/2 and X = 2/3?

• 1/6

• 1/3

• 2/3

• 1

How do you express the inverse variation equation using the constant K?

• Y = K * X

• Y = K + X

• Y = K / X

• Y = X / K

What is the inverse variation equation if K = 1/3?

• Y = 1/3 / X

• Y = 1/3 + X

• Y = X / 1/3

• Y = 1/3 * X

What operation is equivalent to dividing by a fraction?

• Multiplying by the reciprocal

• Adding the fraction

• Subtracting the fraction

• Multiplying by the fraction

If Y = 1/3 divided by 2/15, what is the value of Y?

• 3/10

• 2/5

• 5/2

• 1/10

What is the reciprocal of 2/15?

• 15/2

• 2/15

• 1/15

• 1/2

When X = 2/15, what is the value of Y using the equation Y = 1/3 divided by X?

• 3/10

• 5/2

• 2/5

• 1/10