Linear Equations: Solve Real-World Word Problems

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the linear equation that represents the total cost (C) in terms of the number of days (d) rented. What is the cost if the car is rented for 3 days?

• $90

• $130

• $150

• The cost if the car is rented for 3 days is $110.

A local gym has a membership fee of $30 and charges $10 per class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. If a member attends 5 classes, what is their total cost?

• $70

• $90

• $50

• $80

A school is selling tickets for a play. The tickets cost $8 each, and there is a one-time fee of $50 for the venue. Write the equation for the total revenue (R) based on the number of tickets (t) sold. How much revenue is generated if 100 tickets are sold?

• 850

• $1000

• $50

• $800

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write the equation for the total charge (C) based on the number of miles (m) driven. How much would a delivery cost if it is 10 miles?

• $25

• $35

• $40

• $30

A phone company offers a plan that costs $40 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (t) sent. If a customer sends 200 messages, what is their total bill?

• $80

• $60

• $100

• $50

A farmer sells apples for $2 per pound and has a fixed cost of $100 for equipment. Write the equation for the total income (I) based on the pounds of apples (p) sold. If the farmer sells 50 pounds, what is the total income?

• 100

• $50

• $200

• $150

A taxi company charges a flat rate of $5 plus $1.50 for each mile driven. Write the equation for the total fare (F) based on the number of miles (m) driven. If a passenger travels 8 miles, what is the total fare?

• $12.00

• $20.50

• $17.00

• $15.75

A concert venue has a seating capacity of 500 and sells tickets for $25 each. Write the equation for the total revenue (R) based on the number of tickets (t) sold. If the venue sells out, what is the total revenue?

• 20000

• 12500

• 15000

• 10000

A subscription service charges $10 per month plus a one-time setup fee of $20. Write the equation for the total cost (C) based on the number of months (m) subscribed. What is the total cost for a 6-month subscription?

• $80

• $40

• $100

• $60

A bookstore sells notebooks for $5 each and has a fixed cost of $200 for supplies. Write the equation for the total sales (S) based on the number of notebooks (n) sold. If the bookstore sells 40 notebooks, what are the total sales?

• $300

• $200

• 0

• $100