Linear Functions: Word Problems & Models for Grade 8

A car rental company charges a flat fee of $30 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 50 miles?

• $30

• $50

• $60

• $40

A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 8 classes?

• $60

• $100

• $40

• $80

A school is selling tickets for a play. The tickets cost $10 each, and they are offering a discount of $2 for every ticket purchased after the first one. Write a linear equation for the total cost (C) based on the number of tickets (t) purchased. What is the cost for 5 tickets?

• 42

• 30

• 25

• 50

A delivery service charges a base fee of $15 plus $3 for each package delivered. Create a linear function to represent the total charge (C) based on the number of packages (p) delivered. How much would it cost to deliver 10 packages?

• $30

• $45

• $75

• $60

A phone company offers a plan that costs $25 per month plus $0.10 per text message sent. Write a linear equation to represent the total monthly cost (C) based on the number of text messages (t) sent. What is the total cost if 200 text messages are sent?

• $50

• $30

• $25

• $45

A local bakery sells cupcakes for $3 each. If they have a special where you can buy 4 cupcakes for the price of 3, write a linear equation for the total cost (C) based on the number of cupcakes (c) purchased. How much would it cost for 12 cupcakes?

• $27

• $36

• $30

• $24

A taxi service charges a flat rate of $5 plus $2 for every mile driven. Write a linear equation to represent the total fare (F) based on the number of miles (m) driven. What would the fare be for a 15-mile trip?

• $50

• $45

• $35

• $25

A concert venue sells tickets for $50 each, and there is a service fee of $10 per order. Write a linear equation for the total cost (C) based on the number of tickets (t) purchased. How much would it cost to buy 3 tickets?

• $140

• $170

• $150

• $160

A landscaping company charges a flat fee of $100 for a service plus $25 for each hour of work. Write a linear equation to represent the total cost (C) based on the number of hours (h) worked. What is the total cost for 4 hours of work?

• $300 for 4 hours of work.

• $150 for 4 hours of work.

• The total cost for 4 hours of work is $200.

• $100 for 4 hours of work.

A subscription service charges $12 per month plus an additional $2 for each movie rented. Write a linear equation for the total cost (C) based on the number of movies (m) rented. How much would it cost to rent 5 movies?

• $18

• $30

• $22

• $15