Inverse variation word problems

Boyle’s Law states that, for a fixed amount of gas, the volume of the gas at a constant   temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters   at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure   when the volume is increased to 12 liters?

• 39.8 cm Hg
• 41.0 cm Hg 
• 43.2 cm Hg
• 45.1 cm Hg

The time required to complete a job varies inversely as the number of people working. It   took 4 hours for 7 electricians to wire a building. How long would it have taken 3   electricians to have done the job?

• 1 hr 43 min
• 5 hr 15 min
• 7 hr 30 min
• 9 hr 20 min

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSN.Q.A.1

The time, y, to finish loading the boxes varies inversely as the number of people, x, working.  If 10 people work, the job is completed in 16 hours. How long does it take 8 people to load the boxes?

• 12.8 hours
• 20 hours
• 13 hours 
• 5 hours

The cost for the company to ship the boxes varies inversely with the number of boxes being shipped.  If 25 boxes are shipped at once, it will cost $10 per box.  How much would it cost to ship only 10 boxes?

• $25
• $4
• $15
• $7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.4

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 

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

• $22.50
• $57.60
• $1.11
• $12.50