Domain and Range Challenges for Grade 8 Math

1. A local gym charges a monthly fee of $30. If a member can only attend the gym for a maximum of 12 months in a year, what is the domain of the number of months a member can attend?

• [-5, 12]

• [0, 12]

• [1, 10]

• [0, 15]

2. A farmer sells apples for $2 each. If he can sell between 0 and 100 apples in a day, what is the range of the number of apples he can sell?

• 0 to 200

• 1 to 99

• 0 to 100

• 50 to 150

3. A movie theater has 150 seats. If they sell tickets for a movie showing, what is the domain of the number of tickets that can be sold?

• [0, 100]

• [0, 150]

• [-10, 150]

• [50, 200]

4. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives between 0 and 200 miles, what is the range of the total cost for the rental?

• $50 to $70

• $50 to $90

• $60 to $100

• $40 to $80

5. A school has a maximum capacity of 500 students. If they currently have 300 students enrolled, what is the domain of possible new enrollments?

• 200 to 300

• 300 to 500

• 0 to 200

• 0 to 100

6. A concert venue can hold up to 2,000 people. If they sell tickets for a concert, what is the range of the number of tickets that can be sold?

• 0 to 2000

• 100 to 1500

• 0 to 2500

• 500 to 1000

7. A bakery sells cupcakes for $3 each. If they can make between 0 and 150 cupcakes in a day, what is the domain of the number of cupcakes they can sell?

• The domain of the number of cupcakes they can sell is [0, 150].

• The domain is (0, 150)

• The domain is [1, 150]

• The domain is [0, 149]

8. A taxi charges a base fare of $5 plus $2 per mile. If a customer travels between 1 and 10 miles, what is the range of the total fare?

• $5 to $15

• $10 to $30

• $8 to $20

• $7 to $25

9. A swimming pool can hold a maximum of 20,000 liters of water. If it is currently filled with 15,000 liters, what is the domain of how much more water can be added?

• 5000 to 10000 liters

• 10000 to 15000 liters

• 0 to 5000 liters

• 0 to 1000 liters

10. A bookstore has a shelf that can hold 100 books. If they currently have 75 books, what is the range of how many more books they can add to the shelf?

• 25

• 30

• 50

• 10