Direct Variation

DIRECT VARIATION

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Y varies directly as X; and Y = 21 when X = 3. Then find X when Y = 42.

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Y varies directly as X, and Y = 8 when X = 16. Then find X when Y = 16.

Multiple Choice

Heather’s weekly pay varies directly to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work. Which proportion properly sets up her equation?

• $$\frac{174\ dollars}{x}=\frac{24\ hours}{40\ hours}$$  

• $$\frac{174\ dollars}{40\ hours}=\frac{y}{24\ hours}$$  

• $$\frac{174\ dollars}{24\ hours}=\frac{y\ }{40\ hours}$$  

• $$\frac{24\ hours}{174\ dollars}=\frac{y}{40\ hours}$$  

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Heather’s weekly pay varies directly to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work.

Multiple Choice

A person’s weekly pay varies directly to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. Which equation correctly sets up this direct variation situation?

• $$\frac{123\ dollars}{20\ hours}=\frac{y}{31\ hours}$$  

• $$\frac{123\ dollars}{x}=\frac{20\ hours}{31\ hours}$$  

• $$\frac{123\ dollars}{31\ hours}=\frac{y}{20\ hours}$$  

• $$\frac{20\ hours}{123\ dollars}=\frac{y}{31\ hours}$$  

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A person’s weekly pay varies directly to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. HINT: YOU SHOULD GET A DECIMAL ANSWER.

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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?

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The gallons of water a dishwasher uses is directly proportional to the loads of dishes. A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 14 loads?

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Two minutes after a skydiver opens his parachute, he has descended 1,900 feet. After 5 minutes, he has descended 4,940 feet. If the distance varies directly as the time, at what rate is the skydiver descending?

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Multiple Choice

-9w + 7 - 4w - 16

• -13w -9

• 5w -23

• -13w - 23

• -5w - 9

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8v - 4(v + 8) = 8

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Solve: 5x + 15 = 10x - 40