PERFORMANCE TASK 1: VARIATIONS

A dripping faucet wastes a cup of water if it drips for three minutes. The amount of water wasted varies directly with the amount of time the faucet drips. How long must the faucet drip to waste 4.5 cups of water?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The distance that a car can travel varies directly with the number of liters of gasoline in the tank. If a car can go 120 kilometers on 15 liters of gas, how far can it go on 9 liters?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

Doctors recommend Ceclor for ear infections in children. The proper dosage for a 9-kilogram child is 124 milligrams. What would be the proper dosage for a 12-kilogram child?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The weight of an object in Mars varies directly as its weight on Earth. A stone which weighs 5 kilograms on Earth weighs 2 kilograms on Mars. How much would a 70-kilogram person weigh on Mars?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The force of gravity acting on an object varies directly with the mass of the object. The force on a mass of a 10-kilogram is 98 newtons. What is the force acting on a mass of 25 kilograms?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The cost of a train ticket varies directly with the number of kilometers traveled. If a ticket for 140-kilometer trip cost 84 pesos, how much would a 320-kilometer trip cost?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

A number of kilograms y of waters in a human body varies directly as the total weight. A person weighing 54 kilograms contains 36 kilograms of water. How many kilograms of water are in a 36-kilograms high school student?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The number of copies produced by a copier varies directly as the amount of time the copier is operating. If the copier produces 150 copies in 4 minutes., how many copies can it produce in 1 hour?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 299 feet, how far will it take a car to stop if it is traveling at 50 mph?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)

The distance covered by a falling body is directly proportional to the square of the time it takes to fall. If an object dropped from a height of 20 meters takes 3 seconds to reach the ground, from what height should it be dropped if it is to reach the ground in 6 seconds?

(If your answer is in fraction form, convert it to decimal and ROUND OFF to nearest HUNDREDTHS place, if applicable. Make sure to include necessary UNITS to your final answer, if applicable.)