Real-World Applications of Piecewise Functions in Pricing

A taxi company charges a flat fee of $3 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 5-mile ride cost?

• $11

• $5

• $8

• $15

A gym charges a monthly fee of $30, but if you attend more than 10 classes in a month, the fee increases to $50. Write a piecewise function to represent the monthly fee based on the number of classes attended. What is the fee for attending 12 classes?

• $50

• $60

• $30

• $40

A delivery service charges $5 for the first 10 pounds and $1 for each additional pound. Create a piecewise function to model the cost of delivery based on the weight of the package. How much would it cost to deliver a 15-pound package?

• $15

• $12

• $10

• $7

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. Write a piecewise function to represent the ticket price based on the time of purchase. What is the price if the ticket is bought 10 days before the concert?

• $50

• $90

• $70

• $100

A phone plan charges $20 for the first 1GB of data and $10 for each additional GB. Write a piecewise function to represent the monthly cost based on the amount of data used. How much would a user pay for 5GB of data?

• $50

• $60

• $30

• $80

A parking garage charges $2 for the first hour and $1 for each additional hour. Write a piecewise function to represent the parking fee based on the number of hours parked. How much would it cost to park for 4 hours?

• $5

• $3

• $4

• $6

A local pool charges $5 for the first hour and $3 for each additional hour. Write a piecewise function to model the cost of swimming based on the number of hours spent at the pool. What is the cost for 3 hours?

• 11

• 20

• 15

• 8

A phone company offers a plan that costs $30 for up to 500 minutes and $0.10 for each additional minute. Write a piecewise function to represent the monthly cost based on the number of minutes used. How much would a user pay for 600 minutes?

• 40

• 30

• 70

• 50

A delivery service charges $10 for the first 5 miles and $2 for each additional mile. Create a piecewise function to model the cost of delivery based on the distance traveled. How much would it cost to deliver a package 8 miles away?

• $12

• $20

• $14

• $16

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 6 months?

• 65

• 75

• 55

• 80