Joint Variation Challenges: Identify & Solve in Math

A car's fuel consumption varies jointly with the distance traveled and the weight of the car. If a car weighing 1,200 kg consumes 60 liters of fuel to travel 300 km, how much fuel will a 1,500 kg car consume over the same distance?

• 75 liters

• 50 liters

• 90 liters

• 100 liters

The area of a rectangle varies jointly with its length and width. If a rectangle with a length of 5 meters and a width of 3 meters has an area of 15 square meters, what will be the area of a rectangle with a length of 8 meters and a width of 4 meters?

• 20 square meters

• 40 square meters

• 32 square meters

• 24 square meters

The cost of producing a certain product varies jointly with the number of units produced and the cost per unit. If producing 100 units at $5 each costs $500, how much will it cost to produce 150 units at the same cost per unit?

• 900

• 750

• 1000

• 600

The brightness of a light bulb varies jointly with the voltage and the current. If a bulb operates at 120 volts and 2 amps, producing a brightness of 240 lumens, what will be the brightness if the voltage is increased to 150 volts while keeping the current the same?

• 400 lumens

• 350 lumens

• 300 lumens

• 250 lumens

The amount of paint needed to cover a wall varies jointly with the height and width of the wall. If a wall that is 10 feet high and 12 feet wide requires 2 gallons of paint, how much paint is needed for a wall that is 15 feet high and 20 feet wide?

• 5 gallons

• 6 gallons

• 4 gallons

• 3 gallons

The weight of an object varies jointly with its volume and the density of the material. If a block of wood with a volume of 4 cubic feet and a density of 30 pounds per cubic foot weighs 120 pounds, how much would a block with a volume of 6 cubic feet and the same density weigh?

• 120 pounds

• 150 pounds

• 180 pounds

• 200 pounds

The speed of a boat varies jointly with the power of the engine and the weight of the boat. If a boat with a 200 HP engine and a weight of 1,000 kg travels at 40 km/h, what speed will a boat with a 300 HP engine and a weight of 1,200 kg achieve?

• 60 km/h

• 30 km/h

• 45 km/h

• 50 km/h

The amount of water a plant needs varies jointly with its size and the temperature. If a small plant requires 1 liter of water at 20 degrees Celsius, how much water will a medium-sized plant need at the same temperature if it is twice the size?

• 4 liters

• 3 liters

• 1 liter

• 2 liters

The profit from selling a product varies jointly with the number of items sold and the price per item. If selling 50 items at $10 each results in a profit of $300, what will be the profit if 75 items are sold at the same price?

• 600

• 450

• 300

• 750

The time it takes to complete a task varies jointly with the number of workers and the amount of work. If 4 workers can complete a task in 10 hours, how long will it take 6 workers to complete the same task?

• 5 hours

• 12 hours

• 8 hours

• 6.67 hours