Linear Functions: Equations and Graphing Challenges

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the cost if you drive 100 miles?

• $70

• $100

• $50

• $90

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

• $100

• $80

• $70

• $50

A store sells notebooks for $2 each. Write a linear equation that represents the total cost (C) of buying (n) notebooks. If you graph this equation, what would be the y-intercept?

• 0

• $1

• $2

• $4

A gardener charges $25 for a service plus $15 for each hour worked. Write the linear equation for the total cost (C) based on hours worked (h). If the gardener works for 4 hours, what is the total cost?

• $85

• $70

• $100

• $60

A phone plan costs $40 per month plus $0.10 per text message. Write the linear equation for the total cost (C) based on the number of text messages (t) sent. How would you represent this on a graph?

• C = 40 + 0.05t

• C = 0.10 + 40t

• C = 40 + 0.10t

• C = 40t + 0.10

A delivery service charges a flat fee of $10 plus $2 for each package delivered. Write the linear equation for the total cost (C) based on the number of packages (p) delivered. If you deliver 5 packages, what is the total cost?

• $15

• $25

• $30

• $20

A concert ticket costs $50, and there is an additional $10 fee for VIP seating. Write a linear equation for the total cost (C) based on the number of tickets (t) purchased. How would you graph this equation?

• C = 50t - 10

• C = 50t + 10

• C = 10t + 50

• C = 50 + 10t

A school sells tickets for a play at $8 each. Write a linear equation for the total revenue (R) based on the number of tickets (t) sold. If the school sells 150 tickets, what is the total revenue?

• 1200

• $1000

• $1500

• $800

A subscription service charges $15 per month. Write a linear equation for the total cost (C) based on the number of months (m) subscribed. If you graph this equation, what does the slope represent?

• C = 20m - 5; the slope represents a penalty of $5 for early cancellation.

• C = 15m; the slope represents the monthly cost of $15.

• C = 10m; the slope represents a discount of $10 per month.

• C = 15m + 5; the slope represents a one-time fee of $5.