Solve Rational Inequalities & Variation Equations

What kind of equation is this?
xy=8

• Linear Equation
• Direct Variation
• Inverse Variation
• Joint Variation

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Classify the equation:
15x=3y

• Direct Variation
• Inverse Variation
• Joint Variation
• Linear Equation

Write the equation for the table given.

• y = 1/3x
• y = 3x
• y = 1/2x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

What is the constant (k) in this inverse variation?

• 12
• 24
• 48
• Not enough information given

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find an equation that relates x and y inversely given that

y = 5 when x = 4.

• y = 20 / x

• y = 5 / x

• y = 5x

• y = 20x

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2
• $308
• $1.57
• $265

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Karen earns $28.50 for working six hours. If the amount she earns varies directly with the number of hours she works, how much will she earn for working 10 hours?

• $47.50

• $17.10

• $54.75

• $45.55

The number of gallons of fuel used on a trip varies directly with the number of miles traveled. 
If a trip of 270 miles required 12 gallons of fuel,
how many gallons are required for a trip of 405 miles?

• 8 gallons
• 10 gallons
• 17.8 gallons
• 18 gallons

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