Inverse Variation Practice

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36

• 9

• 25

• 36

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

Does the table show an inverse variation?

• Yes

• No

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 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

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

• 4

• 5

• 25

• 100

• yes

• no

Which of the following are true for INVERSE variation? Select all that apply.