Word Problems to Equations: Domain & Range Challenges

A local bakery sells cupcakes and cookies. The number of cupcakes sold can be represented by the equation y = 2x + 5, where x is the number of hours the bakery is open. What is the domain of this relation if the bakery is open for 6 hours?

• [-5, 6]

• [0, 10]

• [1, 5]

• [0, 6]

In a school, the number of students participating in a science fair is represented by the equation y = 3x, where x is the number of weeks before the fair. If the fair is in 4 weeks, what is the range of this relation?

• {0, 3, 6, 9}

• {1, 2, 3, 4, 5}

• {0, 1, 2, 3, 4}

• {0, 3, 6, 9, 12}

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write an equation to represent the total cost y in terms of the number of days x. What is the domain if the car can be rented for a maximum of 7 days?

• y = 30 + 20x; Domain: [0, 5]

• y = 50 + 10x; Domain: [0, 10]

• y = 50 + 20x; Domain: [0, 7]

• y = 50 + 25x; Domain: [0, 7]

A gardener plants flowers in rows. The number of flowers planted can be represented by the equation y = 4x, where x is the number of rows. If the gardener plants up to 10 rows, what is the range of this relation?

• [0, 30]

• [0, 50]

• [0, 40]

• [0, 20]

A movie theater sells tickets for $12 each. The total revenue y can be represented by the equation y = 12x, where x is the number of tickets sold. If the theater can sell a maximum of 100 tickets, what is the domain of this relation?

• [0, 50]

• [1, 100]

• [0, 200]

• [0, 100]

A gym charges a monthly fee of $30 plus $5 for each class attended. Write an equation for the total cost y in terms of the number of classes x. What is the range if a member attends up to 10 classes in a month?

• The range of total costs is from $30 to $80.

• The range of total costs is from $30 to $100.

• The range of total costs is from $25 to $75.

• The range of total costs is from $40 to $90.

A bookstore sells novels and magazines. The total number of items sold can be represented by the equation y = 2x + 3, where x is the number of novels sold. If the bookstore sells up to 20 novels, what is the domain of this relation?

• [0, 20]

• [1, 15]

• [-5, 20]

• [0, 25]

A farmer sells apples and oranges. The total weight of fruit sold can be represented by the equation y = 1.5x + 2, where x is the number of kilograms of apples sold. If the farmer sells up to 15 kilograms of apples, what is the range of this relation?

• [2, 22.5]

• [2, 30]

• [0, 15]

• [1, 20]

A pizza shop sells pizzas for $15 each. The total sales y can be represented by the equation y = 15x, where x is the number of pizzas sold. If the shop can sell a maximum of 50 pizzas, what is the domain of this relation?

• [0, 50]

• [-10, 50]

• [0, 100]

• [1, 50]

A school organizes a field trip. The total cost y can be represented by the equation y = 10x + 100, where x is the number of students attending. If the trip can accommodate up to 30 students, what is the range of this relation?

• [100, 300]

• [0, 400]

• [100, 400]

• [100, 500]