Direct variations applications

The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 lbs contains 60 lbs of water.  How many kilograms of water are in a person whose mass is 75 lbs?

• 50 lbs water

• 72 lbs water

• 94 lbs water

• 40 lbs water

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CCSS.HSA.CED.A.1

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At top speed, a rabbit can cover 8 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert?

• 33 minutes

• 133 minutes

• 330 minutes

• 660 minutes

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CCSS.HSA.CED.A.1

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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

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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CCSS.HSF.LE.A.2

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

• 34.04
• 90.00
• 1,285.35
• 44,444.44

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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The sales at a baseball game vary directly with the number of people attending.  If sales for a game are $12,000 when 800 people attend, determine attendance if sales are $30,000

• 1200 people
• 1500 people
• 2000 people
• 2400 people

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.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

The current in a simple electrical circuit is inversely proportional to the resistance. If the current is 80 amps when the resistance is 50 ohms, find the current when the resistance is 22 ohms.

• 90 amps

• 100 amps

• 105 amps

• 120 amps

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

If 32 men can clear a field in 15 days, in how many days can 20 men clear the same field?

• 18 days

• 20 days

• 22 days

• 24 days

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSN.Q.A.1

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x
• y = 144x
• y = 4/x
• y = 144/x

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CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

The volume V of a gas kept at a constant temperature varies inversely as the pressure p. If the pressure is 40 pounds per square inch, the volume is 15 cubic feet. What will be the volume when the pressure is 30 pounds per square inch?

• 28 cubic feet

• 30 cubic feet

• 20 cubic feet

• 24 cubic feet

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.2

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CCSS.HSN.Q.A.1

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

• 5.33 hours 
• 6.75 hours 
• 12 hours 
• 10 hours 

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1