Direct and Inverse variations

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

• x
• y
• 400
• Not enough information given

Tags

CCSS.HSF-LE.A.1B

Which of the following represents indirect variation?

• y = kx
• y = k/x
• y = x/k
• y = mx + b

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

• 121
• 4
• 100
• 6

When Darcy's school bus travels at 30 miles per hour, it gets from her home to school in 12 minutes. What is the speed of Darcy's bus if it makes the same trip in 18 minutes?  

• 45 mph
• 36 mph
• 28 mph
• 20 mph

Tags

CCSS.HSF-LE.A.1B

The current in an electrical conductor varies inversely as the resistance of the conductor. What is the current when the resistance is 42 ohms, if the current is 4 amperes when the resistance is 168 ohms?

• 21 amperes
• 17 amperes
• 24 amperes
• 16 amperes

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?

• 12 days
• 4.2 days
• 6.2 days
• 10 days

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

• 300
• 75
• 1,875
• 12

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.NS.A.2

What does the Direct Variation Equation look like?

• y= kx
• y = mx + b
• y = b
• y = x

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x
• y=100x
• y=5.25x
• y=4/21x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Is the given table a direct variation? If so, what is the constant of variation?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7