Inverse Variation Function

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. Create an equation that represents this situation.

• h=4.5p

• h=p/4.5

• h=162/p

• h=162p

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x

• y = 144x

• y = 4/x

• y = 144/x

Suppose y varies inversely with x.

If y = 150 when x = 2, create an equation for this situation.

• y=75x

• y=x/75

• y=300x

• y=300/x

If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?

• 121

• 4

• 100

• 6

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, create an equation that fits this situation.

• y=180/x

• y=180x

• y=7.2x

• y=7.2/x

Write an equation to represent this graph

• y=5/x

• y=10/x

• y=20/x

• y=25/x

Create an equation to represent this situation.

• y=-2/x

• y=-55/x

• y=55/x

• y=18.333/x

Create an equation that represents this table of values.

• y=200/x

• y=-200/x

• y=100/x

• y=-100/x

The equation 
xy =  25  represents:

• direct variation

• inverse variation

• joint variation

• none of these

The time to prepare a field for planting is inversely proportional to number of people who are working.

A large field can be prepared by five workers in 24 days. Create an equation to represent this situation.

• w=24/d

• w=5/d

• w=120/d

• w=4.8/d