Direct and Inverse Variation

The variables x and y vary inversely, and y = 8 when x = 4.

Write an equation that relates x and y.

• y = 32 x

• y = ³² / _x

• y = 2 x

• y = ² / _x

When dealing with direct and inverse variation, the K represents what?

• Kangaroo

• K-Mart's Blue Light Special

• Constant

• King Cobra Snake

Tell whether x and y show direct variation, inverse variation, or neither.

• direct variation

• inverse variation

• neither

The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 60 mph. How long will the trip take if you drive 72 mph?

• 2.5 hours

• 2.6 hours

• 2.8 hours

• 3.5 hours

• 3.6 hours

The image is an example of the graph of a(n)

• direct variation

• inverse variation

• neither

• both

The time that a group of carpenters takes to build a deck is inversely proportional to the number of carpenters. If 3 carpenters can build a deck in 36 working hours, how many carpenters are needed to build a deck in 27 working hours?

• 2

• 3

• 4

• 5

• 6

Which of the given graphs is a direct variation?

• A

• B

• C

• D

Determine the type of variation:

• Direct

• Inverse

• Neither

What ordered pair does a direct variation always go through when graphed?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

What is the constant (k) in this inverse variation?
y = 400/x

• x

• y

• 400

• Not enough information given