Direct and Inverse Variation Worksheet: Page 1 1. 6 people can do a job in 10 hours. How long will it take 9 people to do the same job? a 15 hours b. 5 hours 24 minutes c. 6 hours 40 minutes d. 6 hours 2. A certain project can be completed by 6 workers in 27 days. In order to complete the project sooner, the company plans to hire additional workers. How many workers are needed to complete the project in 18 days? a. 54 9 b. c. 15 d. 4 3. The volume of a gas varies inversely with the pressure of the gas on its container. If a pressure of 25 pounds per square inch corresponds to a volume of 68 cubic inches, What pressure is needed to correspond to a volume of 80 cubic inches? a. 21.25 pounds per square inch b. 25 pounds per square inch c. 29.41 pounds per square inch d. 21.76 pounds per square inch 4. The volume of a gas varies inversely with the pressure of the gas on its container. If a pressure of 38 kg per square meter corresponds to a volume of 280 cubic meters, What is the volume under a pressure of 56 kg per square meter? a. 206 cubic meters b. 182 cubic meters C. 190 cubic meters d. 412 cubic meters
5. A pump empties a swimming pool in 40 minutes at the rate of 1400 L/min. If the rate of pumping is 2000 L/min, how long does it take to empty the swimming pool? a. 57 minutes b. 28 minutes c. 52 minutes d. 26 minutes 6. Does the equation X = 5y model direct variation, inverse variation, or neither? a. direct variation b inverse variation c. neither A nor B 7. Find an equation that relates X and y inversely, and y = 10 when X = 5. a. xy = 150 b. y = x5 c. X = y50 d. xy = 50 Jeff used the relation V = ir to calculate the resistance, r, of a copper wire, where i is the current and V, the constant potential. Find the relationship between the current in the wire and the resistance of the wire. a. b. c. d. X Current in the wire is inversely proportional to the resistance of the wire. X Current in the wire is directly proportional to the resistance of the wire. X The relationship is neither inverse nor direct. X None of the above 14. Which variation does the equation X = 11y model? a. X direct variation b. X inverse variation c. X neither direct nor inverse
none of the above d. X 15. Find an equation that relates X and y inversely, and y = 2 when X = 17.3. a. X X= y34.6 b. X c. X d. X y = 2x y = 34.6x None of the above 16. Find an equation that relates X and y inversely, assuming y = 3 when