Inverse Variation Practice

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

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

• There is one.
• k = x
• 54
• y = k

Tags

CCSS.HSF-LE.A.1B

What kind of variation is shown in the graph?

• Direct
• Inverse

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

• y = a*x

• y = ^a / _x

• a = ^y / _x

• a = x*y

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

• direct variation

• inverse variation

• neither

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

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

Boyle's Law states that the pressure, P, of a gas multiplied by its volume, V, is equal to a constant. Does this show direct variation, inverse variation, or neither?

• direct variation

• inverse variation

• neither

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