Linear Functions: Exploring Slope and Intercept in Costs

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?

• C = 20 + 0.20m; Slope = 0.20 (cost per mile)

• C = 20 + 0.15m; Slope = 0.15 (cost per mile)

• C = 20 + 0.10m; Slope = 0.10 (cost per mile)

• C = 15 + 0.15m; Slope = 0.15 (base fee)

If a store sells notebooks for $2 each and charges a $5 service fee, write the linear equation for the total cost (C) in terms of the number of notebooks (n). What is the y-intercept and what does it signify?

• C = 2n + 5; y-intercept = 5, signifies the service fee.

• C = 3n + 5; y-intercept = 5, signifies the total cost.

• C = 2n; y-intercept = 0, signifies no service fee.

• C = 2n + 10; y-intercept = 10, signifies a discount.

A gym charges a monthly membership fee of $30 plus $10 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 5 classes?

• $50

• $80

• $60

• $100

A phone plan costs $25 per month plus $0.10 per text message. Write the equation for the total cost (C) based on the number of text messages (t) sent. What does the slope represent?

• C = 25 + 0.10t; the slope represents the cost per text message.

• C = 25 + 0.05t; the slope represents the number of text messages.

• C = 0.10 + 25t; the slope represents the monthly fee.

• C = 25t + 0.10; the slope represents the total cost.

A gardener charges a flat fee of $50 for a service plus $15 per hour of work. Write the equation for the total cost (C) in terms of hours worked (h). If the total cost is $95, how many hours did the gardener work?

• 3

• 2

• 4

• 1

A delivery service charges $5 for the first mile and $1.50 for each additional mile. Write the equation for the total cost (C) based on the number of miles (m) driven. What is the slope and what does it represent?

• C = 3.5m + 5; slope = 3.5, representing the cost for the first mile.

• C = 5m + 1.5; slope = 5, representing the total cost per mile.

• C = 1.5m + 5; slope = 1.5, representing the initial fee.

• C = 1.5m + 3.5; slope = 1.5, representing the cost per additional mile.

A subscription service costs $10 per month plus $2 for each additional feature. Write the equation for the total cost (C) in terms of the number of features (f). If a customer pays $20, how many features did they choose?

• 3

• 7

• 5

• 10

A concert ticket costs $50 plus a $5 processing fee. Write the equation for the total cost (C) in terms of the number of tickets (t). What does the y-intercept represent in this scenario?

• C = 55t; y-intercept represents the total cost of one ticket.

• C = 50t + 10; y-intercept represents the total cost of two tickets.

• C = 50t + 5; y-intercept represents the processing fee of $5.

• C = 45t + 5; y-intercept represents a discount on the processing fee.

A school sells tickets for a play at $8 each and charges a $2 fee for processing. Write the equation for the total cost (C) in terms of the number of tickets (t). If a family buys 4 tickets, what is the total cost?

• $40

• $30

• $34

• $28