Evaluating and Graphing Step & Piecewise Functions

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. Evaluate the cost for a 3-mile ride.

• 10

• 12

• 7

• 9

A gym charges a monthly fee of $30 for up to 10 classes. For each class beyond 10, there is an additional charge of $5 per class. Create a piecewise function for the total cost based on the number of classes attended. What is the cost for attending 15 classes?

• $55

• $40

• $70

• $45

A delivery service charges $10 for the first 5 pounds and $2 for each additional pound. Write a step function to represent the cost of delivery based on the weight of the package. How much would it cost to deliver a 12-pound package?

• $18

• $15

• $24

• $30

A concert ticket costs $50 for the first 100 tickets sold, and $75 for any tickets sold after that. Write a piecewise function to represent the ticket price based on the number of tickets sold. What is the price for the 150th ticket?

• 100

• 50

• 150

• 75

A phone plan costs $20 for the first 500 MB of data and $10 for each additional 500 MB. Create a step function to represent the monthly cost based on data usage in MB. How much would a user pay for 1200 MB of data?

• $50

• $20

• $30

• $40

A parking garage charges $5 for the first hour and $3 for each additional hour. Write 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?

• 10

• 12

• 14

• 16

A subscription service charges $10 for the first 3 months and $15 for each month thereafter. Create a piecewise function to represent the total cost based on the number of months subscribed. What is the total cost for 8 months?

• 50

• 100

• 70

• 85

A water park charges $25 for the first 2 hours and $10 for each additional hour. Write a step function to represent the cost of admission based on the number of hours spent at the park. How much would it cost to stay for 5 hours?

• $45

• $55

• $30

• $70

A library fines $0.50 for the first day a book is overdue and $1 for each additional day. Create a piecewise function to represent the total fine based on the number of days overdue. What is the total fine for a book that is 4 days overdue?

• $2.50

• $3.50

• $4.00

• $5.00

A phone company offers a plan that costs $30 for the first 100 minutes and $0.20 for each additional minute. Write a step function to represent the cost based on the number of minutes used. How much would a user pay for 150 minutes?

• $40

• $30

• $50

• $25