Exploring Direct Variation: Real-Life Applications and Equations

A car travels at a constant speed. If it travels 60 miles in 1 hour, how far will it travel in 3 hours? Write the equation for this direct variation.

• 180 miles

• 300 miles

• 120 miles

• 240 miles

The cost of apples is directly proportional to the weight. If 2 pounds of apples cost $4, how much will 5 pounds cost? Write the equation for this variation.

• $8

• $12

• $10

• $6

A recipe requires 3 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies? Identify the direct variation and write the equation.

• 12 cups

• 5 cups

• 7.5 cups

• 10 cups

The distance a cyclist travels is directly proportional to the time spent cycling. If a cyclist travels 15 miles in 1 hour, how far will they travel in 4 hours? Write the equation for this variation.

• 60 miles

• 30 miles

• 75 miles

• 45 miles

The number of hours worked is directly related to the amount of money earned. If a worker earns $120 for 8 hours of work, how much will they earn for 12 hours? Identify the direct variation and write the equation.

• $150

• $240

• $180

• $90

A gardener plants 5 seeds and grows 20 flowers. If he plants 15 seeds, how many flowers will he grow? Write the equation for this direct variation problem.

• 45

• 30

• 60

• 75

The amount of paint needed is directly proportional to the area being painted. If 1 gallon of paint covers 400 square feet, how much paint is needed for 1,000 square feet? Write the equation for this variation.

• 1 gallon

• 3 gallons

• 4 gallons

• 2.5 gallons

A photographer charges a fee that varies directly with the number of hours worked. If the fee for 3 hours is $150, what will be the fee for 5 hours? Identify the direct variation and write the equation.

• $250

• $200

• $150

• $300

The number of pages printed is directly proportional to the time spent printing. If 100 pages are printed in 2 minutes, how many pages can be printed in 5 minutes? Write the equation for this variation.

• 300 pages

• 250 pages

• 200 pages

• 150 pages

A factory produces 200 toys in 4 hours. How many toys will it produce in 10 hours? Identify the direct variation and write the equation.

• 600 toys

• 500 toys

• 300 toys

• 400 toys