Understanding Piecewise Functions in Real-World Scenarios

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, C(x), for x miles traveled. How much would a ride of 5 miles cost?

• 8

• 15

• 10

• 11

A gym charges a monthly fee of $30 for the first 3 months and $25 for each subsequent month. Define a piecewise function for the total cost, G(m), for m months. What is the total cost for 6 months?

• 180

• 165

• 150

• 200

A delivery service charges $10 for the first 10 pounds and $1.50 for each additional pound. Create a piecewise function D(p) to represent the cost for p pounds. How much would it cost to deliver 15 pounds?

• 17.50

• 15.50

• 20.00

• 12.00

A concert ticket costs $50 for the first 100 tickets sold, and $75 for tickets sold after that. Write a piecewise function T(n) for the cost of n tickets. What is the cost for purchasing 120 tickets?

• 5000

• 7000

• 6500

• 8000

A phone plan charges $20 for the first 500 MB of data and $0.10 for each additional MB. Define a piecewise function P(d) for the cost based on d MB of data used. How much would a user pay for 800 MB?

• 40

• 30

• 70

• 50

A parking garage charges $5 for the first hour and $2 for each additional hour. Write a piecewise function P(h) for the total parking cost based on h hours parked. What is the cost for 4 hours?

• 11

• 15

• 7

• 20

A subscription service charges $10 for the first month and $8 for each subsequent month. Create a piecewise function S(m) for the total cost after m months. What is the total cost after 5 months?

• 50

• 36

• 42

• 30

A water utility company charges a base fee of $15 for the first 100 gallons and $0.05 for each additional gallon. Define a piecewise function W(g) for the cost based on g gallons used. How much would it cost for 250 gallons?

• 40

• 30

• 15

• 22.5

A bookstore has a sale where the first 3 books are $10 each, and any additional books are $7 each. Write a piecewise function B(n) for the total cost of n books. What is the cost for buying 5 books?

• 30

• 50

• 37

• 44

A cable company charges $50 for the first 100 channels and $1 for each additional channel. Create a piecewise function C(c) for the cost based on c channels subscribed. How much would it cost to subscribe to 150 channels?

• $150

• 100

• $200

• $75