Real-World Function Composition Challenges in Cost Calculations

1. A car rental company charges a base fee of $30 plus $0.20 per mile driven. If a customer drives x miles, write a function for the total cost C(x). If the customer drives 50 miles, what is the total cost?

• $60

• $40

• $50

• $30

2. A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. If a member attends y classes in a month, express the total cost T(y) as a function. Calculate the total cost for attending 8 classes.

• 75

• 100

• 90

• 80

3. A bakery sells cupcakes for $2 each and offers a discount of $5 for orders of 12 or more. If a customer orders n cupcakes, write a function for the total cost B(n). What is the total cost for ordering 15 cupcakes?

• $30

• 25

• $20

• $15

4. A phone plan charges a flat rate of $25 per month plus $0.10 for each text message sent. If a user sends m text messages, express the total bill P(m) as a function. Calculate the total bill for sending 150 messages.

• $40

• $30

• $50

• $25

5. A delivery service charges a fee of $10 for the first 5 miles and $2 for each additional mile. If a delivery is d miles, write a function for the total delivery cost D(d). What is the cost for a delivery of 12 miles?

• 30

• 15

• 20

• 24

6. A school charges a registration fee of $50 and $15 per class taken. If a student takes c classes, express the total cost S(c) as a function. Calculate the total cost for a student taking 4 classes.

• $130

• $150

• 110

• $90

7. A subscription service charges $12 per month and an additional $3 for each movie rented. If a user rents r movies, write a function for the total cost M(r). What is the total cost for renting 5 movies?

• 35

• 27

• 15

• 20

8. A concert venue charges $20 for a ticket and an additional $10 for parking. If a person buys t tickets, express the total cost V(t) as a function. Calculate the total cost for buying 3 tickets.

• 80

• 70

• 50

• 60

9. A landscaping company charges a flat fee of $100 for a service and $25 for each hour of work. If a job takes h hours, write a function for the total cost L(h). What is the total cost for a job that takes 4 hours?

• 175

• 150

• 250

• 200

10. A streaming service charges $15 per month and an additional $2 for each movie purchased. If a user purchases p movies, express the total cost F(p) as a function. Calculate the total cost for purchasing 10 movies.

• 40

• 25

• 35

• 50