Evaluating and Graphing Piecewise Functions for Real-Life 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 cost of a taxi ride based on the distance traveled in miles. Evaluate the cost for a 5-mile ride.

• 11

• 8

• 15

• 20

A gym charges a monthly fee of $30 for up to 10 classes, and $5 for each additional class. Create a piecewise function for the total cost based on the number of classes attended. How much would it cost to attend 15 classes?

• $45

• $55

• $70

• $40

A delivery service charges $10 for the first 5 pounds and $2 for each additional pound. Write the piecewise function for the delivery cost. What is the cost for a 12-pound package?

• 15

• 30

• 20

• 24

A local pool charges $5 for the first hour and $3 for each additional hour. Construct a piecewise function for the total cost based on the number of hours spent at the pool. If someone spends 4 hours, what is the total cost?

• $10

• $12

• $16

• $14

A concert ticket costs $50 for the first 100 tickets sold, and $75 for each ticket 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?

• 75

• 150

• 50

• 100

A phone plan costs $20 for the first 500 MB of data and $0.10 for each additional MB. Create a piecewise function for the monthly cost based on data usage. If a user uses 800 MB, what is their total cost?

• 70

• 30

• 40

• 50

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 6 hours?

• $5

• $10

• $3

• $7

A subscription service charges $10 for the first month and $5 for each subsequent month. Construct a piecewise function for the total cost based on the number of months subscribed. What is the total cost for 8 months?

• 30

• 45

• 50

• 40

A bakery sells cupcakes for $2 each for the first dozen and $1.50 each for any additional cupcakes. Write a piecewise function for the cost of cupcakes based on the quantity purchased. If someone buys 18 cupcakes, what is the total cost?

• 40

• 33

• 25

• 28

A water park charges $25 for the first 3 hours and $10 for each additional hour. Create a piecewise function for the entry fee based on the number of hours spent at the park. If a visitor stays for 5 hours, what is the total fee?

• 35

• 30

• 45

• 50