Variation

The cost C of fish varies directly as its weight w in kilograms.

The fare F of a passenger varies directly as the distance d of his destination.

The length l of a rectangular field varies inversely as its width w.

The heat H produced by an electric lamp varies jointly as the resistance R and the square of the current I.

Tags

CCSS.8.EE.C.7B

The acceleration A of a moving object varies directly as the distance d it travels and inversely as the square of the time t it travels.

Does the relationship represent inverse variation?

• Yes
• No
• Maybe

Tags

CCSS.HSF-LE.A.1B

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the equation of variation?

• y = 13x
• y = 5x
• y = 65x
• y = 1/13 x

The number of words Maria typed varies directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words?

• 60500 minutes
• 20 minutes
• 55 minutes
• 4 minutes

The number of hours to clean a house varies inversely with the number of cleaners working. A house can be cleaned in 27 hours by 6 cleaners. How many cleaners would need to work in order to clean the house in 18 hours?

• 7 cleaners
• 9 cleaners
• 12 cleaners
• 30 cleaners

The number of minutes needed to solve an exercise set of variation problems varies directly as the number of problems and inversely as the number of people working on the solutions. It takes 4 people 36 minutes to solve 18 problems. How many minutes will it take 6 people to solve 42 problems?

• 56 minutes
• 48 minutes
• 52 minutes
• 44 minutes