Name:    Quiz 3-6: Direct Variation

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

y varies directly as x. If when find x when
 a. 8 c. 40 b. 13 d. 45

2.

Bryan Berg built an 83-story house of cards in 1995. He used 27,000 playing cards to accomplish this feat. At this same rate, about how many cards would it take to build a 100-story house of cards?
 a. 30,750 cards c. 2400 cards b. 44,900 cards d. 32,500 cards

3.

In 1930, Charles Creighton and James Hargis drove their 1929 Roadster 3340 miles across the United States in reverse. They drove for 19 days without once stopping the engine. At the same rate, about how far could they have gone in 50 days?
 a. 8542 miles c. 8789 miles b. 7984 miles d. none of these

4.

In 3 hours, Fast Eddy McDonald performed 21,663 loops with his yo-yo. How many could he do in 8 hours at this rate?
 a. 58,738 c. 57,768 b. 59,348 d. 56,588

5.

Heather’s weekly pay is directly proportional 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.
 a. \$320 c. \$275 b. \$290 d. \$295

6.

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and thunder, about how far away was the lightning?
 a. 0.8 mile c. 1.8 miles b. 1 mile d. 1.2 miles

7.

The amount a spring will stretch, S, varies directly with the force (or weight), F, attached to the spring. If a spring stretches 2.3 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?

8.

A person’s weekly pay is directly proportional to the number of hours worked. Shareefa’s pay is \$123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.

9.

In Glastonbury, England, 826 jugglers kept 2478 objects in the air simultaneously. At the same rate, how many objects could 1000 jugglers keep in the air?

10.

At top speed, a rabbit can cover 7 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?

11.

For his last term paper, Kerman typed 13,800 words in 2.5 hours. At this rate, how many words could be typed in 5 minutes?

12.

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads?