Domain and Range Fun: Real-World Graphs for Grade 8

1. A local park has a walking path that is 200 meters long. If the path starts at point A (0,0) and ends at point B (200,0), what is the domain of the function representing the path?

• (0, 200)

• [0, 200]

• [100, 200]

• [0, 300]

2. A school is planning a field trip and can take a maximum of 50 students. If the number of students attending is represented by the function f(x) = x, where x is the number of students, what is the range of this function?

• [0, 50]

• [0, 100]

• [1, 50]

• (0, 50)

3. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If the total miles driven is represented by the function g(x) = 30 + 0.2x, where x is the number of miles, what is the domain of this function?

• (0, 100)

• [0, ∞)

• [10, 50]

• (-∞, 0)

4. A farmer sells apples at a local market. The number of apples sold can be represented by the function h(x) = 100 - 2x, where x is the price per apple. What is the range of this function if the price per apple cannot exceed $50?

• [0, 200]

• [0, 50]

• [0, 100]

• [50, 100]

5. A concert venue has a seating capacity of 500 people. If the number of tickets sold is represented by the function j(x) = x, where x is the number of tickets, what is the domain of this function?

• [-100, 500]

• [0, 600]

• [0, 500]

• [1, 499]

6. A swimming pool can hold a maximum of 30 swimmers at a time. If the number of swimmers is represented by the function k(x) = x, what is the range of this function?

• [15, 30]

• [0, 100]

• [0, 15]

• [0, 30]

7. A delivery service charges $5 for the first mile and $2 for each additional mile. If the total cost is represented by the function m(x) = 5 + 2(x - 1), where x is the total miles, what is the domain of this function?

• [1, 10]

• (1, ∞)

• [0, ∞)

• [1, ∞)

8. A bakery sells cupcakes for $3 each. If the total revenue from selling cupcakes is represented by the function n(x) = 3x, where x is the number of cupcakes sold, what is the range of this function if they can sell a maximum of 100 cupcakes?

• [0, 300]

• [0, 150]

• [0, 500]

• [0, 100]

9. A gym has a membership limit of 200 members. If the number of members is represented by the function p(x) = x, what is the domain of this function?

• [-50, 200]

• [0, 300]

• [0, 200]

• [100, 150]

10. A local library has a collection of 10,000 books. If the number of books checked out is represented by the function q(x) = 10000 - x, where x is the number of books checked out, what is the range of this function if no more than 500 books can be checked out at a time?

• [9000, 9500]

• [10000, 10500]

• [9500, 10000]

• [0, 10000]