Inverse Variation and Constant Relationships

The video tutorial explains how to solve a variation problem where x varies inversely with y. It begins by defining the relationship and then uses given values to find the constant k. Finally, it demonstrates how to calculate x for a new value of y using the derived formula.

What does it mean when x varies inversely with y?

• x is equal to y times a constant

• x is equal to a constant divided by y

• x is equal to y plus a constant

• x is equal to y minus a constant

What is the relationship between x and y in an inverse variation?

• As y decreases, x decreases

• x and y are independent

• As y increases, x decreases

• As y increases, x increases

What is the first step in solving an inverse variation problem?

• Determine the constant k

• Find the value of y

• Set up the equation

• Solve for x

If x equals 6 when y equals 3, what is the value of the constant k?

• 12

• 15

• 21

• 18

How do you solve for k in the equation x = k/y when x = 6 and y = 3?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 6

What is the equation for x after finding the constant k?

• x = y/6

• x = 18/y

• x = y/18

• x = 18y

What is the value of x when y equals 4 using the equation x = 18/y?

• 4.5

• 6

• 9

• 4

What is the final answer for x when y equals 4?

• x = 4

• x = 4.5

• x = 5

• x = 6