Real-Life Functions: Analyzing Domain and Range Constraints

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 reasonable domain for the number of miles driven?

• [0, 300]

• [100, 400]

• [0, 200]

• [-50, 0]

A local gym has a membership fee of $30 per month. If they offer a discount for members who sign up for a year, the total cost for a year is $300. What is the reasonable range of costs for gym memberships?

• $360 to $400

• $250 to $300

• $200 to $250

• $300 to $360

A farmer sells apples for $2 each. If he has a maximum of 500 apples to sell, what is the reasonable domain for the number of apples sold?

• [1, 499]

• [-100, 500]

• [0, 600]

• [0, 500]

A concert hall has a seating capacity of 1,200. If tickets are sold for $50 each, what is the reasonable range of total revenue generated from ticket sales?

• $50,000

• $120,000

• $30,000

• $60,000

A swimming pool can hold a maximum of 10,000 gallons of water. If the pool is currently filled to 4,500 gallons, what is the reasonable domain for the amount of water that can still be added?

• 0 to 5500 gallons

• 1000 to 3000 gallons

• 5500 to 10000 gallons

• 0 to 4000 gallons

A bakery sells cupcakes for $3 each. If they can bake a maximum of 300 cupcakes in a day, what is the reasonable domain for the number of cupcakes sold?

• [0, 300]

• [0, 150]

• [-50, 300]

• [100, 400]

A taxi company charges a base fare of $3 plus $2 per mile. If a ride is between 1 and 15 miles, what is the reasonable range of total fares for a ride?

• $10 to $40

• $4 to $30

• $5 to $33

• $6 to $35

A school is planning a field trip and has a budget of $1,500. If each student pays $25, what is the reasonable domain for the number of students that can attend?

• 0 to 100

• 0 to 30

• 0 to 60

• 0 to 75

A local theater has 500 seats. If tickets are sold for $20 each, what is the reasonable range of income from ticket sales if all seats are sold?

• $25,000

• $15,000

• $5,000

• $10,000

A delivery service charges $5 for the first package and $2 for each additional package. If a customer sends between 1 and 10 packages, what is the reasonable range of total charges for the delivery?

• $0 to $20

• $5 to $15

• $5 to $23

• $10 to $30