Analyzing Real-World Stepwise Functions in Action

A taxi company charges a flat fee of $3 for the first mile and $2 for each additional mile. Write a stepwise function to represent the cost of a taxi ride based on the distance traveled in miles. Analyze the function behavior for a 5-mile ride.

• The cost of a 5-mile taxi ride is $8.

• The cost of a 5-mile taxi ride is $11.

• The cost of a 5-mile taxi ride is $10.

• The cost of a 5-mile taxi ride is $15.

A gym charges a monthly fee of $30, plus an additional $10 for each class attended. Create a stepwise function to model the total cost based on the number of classes attended. How does the cost change as more classes are added?

• C(n) = 30 + 10n

• C(n) = 30n + 10

• C(n) = 30 + 5n

• C(n) = 10 + 30n

A phone plan costs $25 for the first 100 minutes and $0.10 for each additional minute. Construct a stepwise function to represent the total cost based on the number of minutes used. What is the cost for 250 minutes?

• $50

• $30

• $40

• $35

A concert ticket costs $50 for the first 100 tickets sold, $40 for the next 200 tickets, and $30 for any tickets sold after that. Develop a stepwise function to represent the ticket price based on the number of tickets sold. How much would 350 tickets cost?

• 20000

• 14500

• 16000

• 12000

A delivery service charges $5 for the first 5 miles and $1 for each additional mile. Write a stepwise function to represent the delivery cost based on the distance in miles. What is the total cost for a 12-mile delivery?

• $10

• $15

• $8

• $12

A subscription service charges $10 for the first month and $5 for each subsequent month. Create a stepwise function to model the total cost after a certain number of months. What is the total cost after 6 months?

• 25

• 35

• 50

• 40

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

• $10

• $3

• $7

• $5

A water utility company charges a base fee of $15 for the first 100 gallons and $0.05 for each additional gallon. Write a stepwise function to represent the water bill based on the number of gallons used. What would the bill be for 250 gallons?

• $15.00

• $22.50

• $30.00

• $18.75

A library fines $0.25 for the first day a book is overdue and $0.50 for each additional day. Create a stepwise function to model the total fine based on the number of days overdue. What is the total fine for 5 days?

• $2.25

• $0.75

• $3.00

• $1.75

A delivery service charges $10 for the first 10 pounds and $2 for each additional pound. Develop a stepwise function to represent the shipping cost based on the weight of the package. What would be the cost for a 25-pound package?

• $25

• $50

• $30

• $40