Mastering Direct Variation: Solve & Graph Challenges

1. If y varies directly with x and y = 24 when x = 6, what is the value of y when x = 10?

• 60

• 50

• 40

• 30

2. A car travels at a constant speed. If it travels 150 miles in 3 hours, how far will it travel in 5 hours?

• 250 miles

• 300 miles

• 180 miles

• 200 miles

3. The cost of apples varies directly with the weight. If 4 pounds of apples cost $8, how much will 10 pounds cost?

• $25

• $12

• $15

• $20

4. If the number of hours worked varies directly with the amount of money earned, and a person earns $120 for 8 hours of work, how much will they earn for 12 hours?

• $100

• $150

• $180

• $240

5. A recipe requires 2 cups of flour for every 3 cups of sugar. If you use 6 cups of sugar, how many cups of flour do you need?

• 4 cups of flour

• 3 cups of flour

• 6 cups of flour

• 2 cups of flour

6. The distance a car can travel on a gallon of gas varies directly with the number of gallons. If a car can travel 300 miles on 10 gallons, how far can it travel on 15 gallons?

• 450 miles

• 150 miles

• 600 miles

• 300 miles

7. If the temperature in Celsius varies directly with the temperature in Fahrenheit, and 0°C is 32°F, what is the Fahrenheit equivalent of 20°C?

• 68°F

• 32°F

• 100°F

• 50°F

8. A gardener plants 5 seeds and grows 15 flowers. If he plants 8 seeds, how many flowers can he expect to grow?

• 20

• 24

• 18

• 30

9. The amount of paint needed varies directly with the area to be painted. If 1 gallon covers 400 square feet, how many gallons are needed for 1,200 square feet?

• 5 gallons

• 4 gallons

• 3 gallons

• 2 gallons

10. If the number of students in a class varies directly with the number of desks, and there are 30 desks for 24 students, how many desks are needed for 60 students?

• 45 desks

• 75 desks

• 50 desks

• 30 desks