University:
Clemson University
Course:
MATH 4120 | Algebra I
Academic year:

2024
Views:

273

Pages:

2
Author:

Shyanne Johnson

Direct Variation Word Prob lem Wo rksheet For each problem below, answer the question that is stated, then state the constant of variation for each problem and write an equation in y = ax form to represent the problem. 1. y varies directly as x. If x = 5 when y = 12, find x when y = 30. 2. 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. 3. Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If the time between seeing lightning and hearing thunder varies directly with the distance away from the lightning, about how far away was the lightning if Eduardo counted 4 seconds between the next flash of lightning and thunder? 4. A person’s weekly pay is directly proportional 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. 5. 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? (The rabbit’s distance varies directly with his time.) 6. A dishwasher uses 65 gallons of water to wash 5 loads of dishes. The number of gallons it uses is directly proportional to the number of loads the dishwasher can clean. How many gallons of water would be used to wash 12 loads?

Direct Variation Word Problems Worksheet

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