Inverse Variation Equations

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

• 14

• 10

• 2

• -14

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

• yes

• no

Which equation represents an inverse variation?

• y=2

• y=2x

• y=2x+2

• y=2/x

The frequency of a vibrating guitar string varies inversely as its length. Suppose a guitar string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have?

• 13.2 times per sec

• 5.59 times per sec

• 1.39 times per sec

• 5 times per sec

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no space)

z varies inversely with w

Assume y varies inversely with x. What is the equation that best represents the relationship?

• y = 12/x

• y = 1/2x

• y = 6x

• y = -20/x

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no spacing)

Twice c varies inversely as p.