Linear Equations & Problem Solving: Real-World Applications

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 a customer drives 150 miles?

• $100

• $80

• $60

• $120

A local gym has a membership fee of $30 per month and an additional fee of $10 for each fitness class attended. Create a linear equation for the total monthly cost (C) based on the number of classes (c) attended. How much will a member pay if they attend 5 classes?

• $90

• $80

• $50

• $70

A farmer sells apples for $2 each and has fixed costs of $100 for the season. Write a linear equation to represent the total revenue (R) from selling apples (a). If the farmer sells 200 apples, what is the total revenue?

• 300

• 600

• 400

• 200

A school is planning a field trip and estimates that the cost per student decreases as more students sign up. If the cost per student is $50 for 10 students and $40 for 20 students, create a linear equation to model the cost per student (C) based on the number of students (n). What is the cost per student if 15 students sign up?

• 45

• 55

• 35

• 50

A smartphone company finds that for every $50 increase in price, they sell 100 fewer units. If the current price is $300 and they sell 1,000 units, write a linear equation to represent the relationship between price (p) and units sold (u). How many units will they sell if the price is raised to $400?

• 900

• 700

• 600

• 800

A bookstore sells notebooks for $3 each and has a fixed cost of $200. Create a linear equation to represent the total cost (C) of notebooks (n) sold. If the bookstore sells 100 notebooks, what is the total cost?

• 500

• 400

• 700

• 300

A delivery service charges a base fee of $15 plus $1.50 per mile. Write a linear equation to represent the total charge (C) based on the distance (d) in miles. How much will a customer pay for a delivery that is 10 miles away?

• $20.00

• $25.00

• $30.00

• $35.00

A concert venue has a seating capacity of 500. If ticket prices are set at $20, the venue sells out. However, for every $5 increase in ticket price, they sell 50 fewer tickets. Create a linear equation to model the relationship between ticket price (p) and tickets sold (t). What will be the ticket sales if the price is set at $30?

• 400

• 450

• 350

• 300

A company produces widgets at a cost of $5 each and has fixed costs of $1,000. Write a linear equation to represent the total cost (C) of producing (w) widgets. If the company produces 200 widgets, what is the total cost?

• 1500

• 3000

• 2000

• 2500

A local bakery sells cupcakes for $2 each and has a fixed cost of $50. Create a linear equation to represent the total revenue (R) from selling cupcakes (c). If the bakery sells 75 cupcakes, what is the total revenue?

• 150

• 250

• 200

• 100