Inverse Variation Examples

Which equation represents an inverse variation?

• y = -3x + 5

• y = -2x

• y = x/8

• y = 8/x

Y varies inversely to x. If y = 0.5 when x = 4, which equation represents this situation?

• y =2/x

• y = 4x

• y = 2x

• y = x/2

As the speed of a train increases, the amount of time it takes to arrive at its destination decreases. What type of variation exists between the speed of the train and amount of time?

• Direct Variation

• Inverse Variation

• Neither

• Not enough information

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

• 14
• 10
• 2
• -14

x and y vary inversely. Given (5, 20), what is the constant k?

• 4
• 5
• 25
• 100

Does the equation show an inverse variation? 
y=10/x

• yes
• no

What kind of variation does this equation show?
y = 6x

• Inverse Variation
• Direct Variation
• No Variation
• Joint Variation

Given the following equation, identify the constant k.
y = 54/x

• There is one.
• k = x
• 54
• y = k

Does the table show an inverse variation?

• Yes
• No

 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

• y=32x
• y=16x
• y=2x
• y=(1/2)x