Mastering Piecewise Functions: Real-World Applications

A taxi company charges a flat fee of $5 for the first mile and $2 for each additional mile. Write a piecewise function to represent the total cost of a taxi ride based on the distance traveled in miles. How much would a 3-mile ride cost?

• $9

• $15

• $7

• $11

A gym charges a monthly fee of $30 for the first three months, and then $25 for each subsequent month. Create a piecewise function to represent the total cost of gym membership over time. What is the total cost after 6 months?

• 180

• 165

• 200

• 150

A delivery service charges $10 for the first 5 pounds and $1.50 for each additional pound. Write a piecewise function for the cost of delivery based on the weight of the package. How much would it cost to deliver a 10-pound package?

• $17.50

• $20.00

• $15.00

• $12.50

A concert ticket costs $50 if purchased more than a month in advance, $70 if purchased between two weeks and a month in advance, and $90 if purchased within two weeks of the concert. Define a piecewise function for the ticket price based on the time of purchase. What is the price if the ticket is bought 10 days before the concert?

• 90

• 100

• 50

• 70

A phone plan costs $40 for the first 2 GB of data and $10 for each additional GB. Write a piecewise function to represent the monthly cost based on data usage. How much would a user pay for 5 GB of data?

• $70

• $60

• $80

• $50

A parking garage charges $5 for the first hour and $2 for each additional hour. Create a piecewise function to represent the total parking fee based on the number of hours parked. What is the total fee for parking for 4 hours?

• 15

• 20

• 11

• 7

A subscription service charges $15 for the first month and $10 for each subsequent month. Write a piecewise function to represent the total cost after a certain number of months. What is the total cost after 8 months?

• 100

• 75

• 85

• 90

A shipping company charges $20 for packages weighing up to 10 pounds and $5 for each additional pound. Define a piecewise function for the shipping cost based on the weight of the package. How much would it cost to ship a 15-pound package?

• $30

• $50

• $35

• $45

A water utility company charges a base fee of $15 for the first 1000 gallons and $0.02 for each additional gallon. Create a piecewise function to represent the monthly water bill based on usage. What would the bill be for 1500 gallons of water?

• $30

• $25

• $20

• $15

A school charges $200 for the first 10 students and $15 for each additional student for a field trip. Write a piecewise function to represent the total cost based on the number of students attending. What is the total cost for 15 students?

• 320

• 300

• 275

• 250