Exploring Linear Functions in Real-Life Scenarios

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear function to represent the total cost (C) in terms of miles driven (m). What is the cost for driving 100 miles?

• $40

• $25

• $35

• $50

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Construct a linear function to represent the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 8 classes?

• $50

• $90

• $70

• $100

A phone plan costs $25 per month plus $0.10 for each text message sent. Create a linear function to express the total cost (C) based on the number of text messages (t) sent. If you send 50 messages, what is your total cost?

• $40

• $25

• $35

• $30

A bakery sells cupcakes for $3 each and charges a $10 delivery fee. Formulate a linear function to represent the total cost (C) for buying (x) cupcakes. How much would it cost to buy 12 cupcakes?

• $46

• $40

• $36

• $50

A school is selling tickets for a play at $8 each. Write a linear function to represent the total revenue (R) generated from selling (n) tickets. If 150 tickets are sold, what is the total revenue?

• $1000

• $1500

• $800

• 1200

A delivery service charges a base fee of $5 plus $2 for each package delivered. Construct a linear function to represent the total cost (C) based on the number of packages (p) delivered. What is the cost for delivering 10 packages?

• $15

• $30

• $20

• $25

A landscaping company charges a flat rate of $50 for a service plus $15 for each hour of work. Write a linear function to represent the total cost (C) based on hours worked (h). If the service takes 4 hours, what is the total cost?

• $150

• $110

• $85

• $95

A concert venue sells tickets for $50 each and has a fixed cost of $2000 for the event. Create a linear function to express the total profit (P) based on the number of tickets (t) sold. How much profit is made if 100 tickets are sold?

• $2500

• $4000

• 3000

• $1500

A subscription service charges $10 per month plus a one-time setup fee of $25. Formulate a linear function to represent the total cost (C) for (m) months of service. What is the total cost for 6 months?

• $85

• $95

• $100

• $75

A tutoring service charges $40 per hour. Write a linear function to represent the total cost (C) based on the number of hours (h) of tutoring. If a student takes 5 hours of tutoring, what is the total cost?

• $250 for 5 hours

• $100 for 5 hours

• The total cost for 5 hours of tutoring is $200.

• $150 for 5 hours