Real-World Step and Piecewise Functions: Graphs & Costs

A delivery service charges $5 for the first mile and $2 for each additional mile. Write a piecewise function to represent the total cost of a delivery based on the distance traveled. Graph the function and determine the cost for a 7-mile delivery.

• $25

• $12

• $10

• $17

A parking garage charges a flat fee of $10 for the first hour and $2 for each additional hour. Create a step function to model the parking fees. How much would it cost to park for 4 hours?

• $16

• $12

• $8

• $20

A water billing company charges a base fee of $15 for up to 10,000 gallons and $0.005 for each additional gallon. Write a piecewise function for the water bill and find the cost for using 15,000 gallons.

• 25

• 40

• 50

• 30

A gym membership costs $30 per month for the first 6 months, and then $20 per month thereafter. Create a piecewise function to represent the total cost of the membership over time. How much would a member pay after 12 months?

• 300

• 360

• 180

• 240

A taxi service charges a base fare of $3 plus $1.50 for each mile traveled. Write a piecewise function to represent the fare based on the distance traveled. If a passenger travels 10 miles, what is the total fare?

• $12.50

• $18.00

• $15.00

• $21.00

A phone plan costs $25 for the first 500 minutes and $0.10 for each additional minute. Create a piecewise function to model the cost of the plan. How much would a user pay if they used 750 minutes?

• 30

• 50

• 40

• 60

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

• 50

• 75

• 150

• 100

A subscription service charges $10 for the first month and $5 for each subsequent month. Create a step function to model the total cost over time. How much would a user pay after 8 months?

• 60

• 45

• 30

• 50

A delivery service has a fee structure where the first 3 miles cost $10, and each additional mile costs $3. Write a piecewise function for the delivery cost and find the cost for a 5-mile delivery.

• 12

• 16

• 20

• 25

A local library fines $0.25 for the first day a book is overdue and $0.50 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 4 days overdue?

• $1.00

• $2.00

• $1.75

• $0.75