Graphing Break-Even Points in Real-World Scenarios

A company sells t-shirts for $20 each and has a fixed cost of $200. Write a system of linear equations to represent the revenue and cost. Find the break-even point.

• The break-even point is 15 t-shirts.

• The break-even point is 5 t-shirts.

• The break-even point is 10 t-shirts.

• The break-even point is 20 t-shirts.

A bakery sells cupcakes for $3 each and has a monthly fixed cost of $150. Write the equations for revenue and cost, then determine how many cupcakes need to be sold to break even.

• 70

• 30

• 100

• 50

A concert venue has a fixed cost of $1,000 and sells tickets for $25 each. Write the equations for total revenue and total cost, and calculate the break-even number of tickets sold.

• 40

• 30

• 60

• 50

A lemonade stand has a fixed cost of $30 and sells lemonade for $2 per cup. Formulate the system of equations and find the break-even point in terms of cups sold.

• 25 cups

• 10 cups

• 15 cups

• 20 cups

A video game store has a fixed cost of $400 and sells games for $40 each. Write the revenue and cost equations, and determine the break-even point.

• The break-even point is 5 games.

• The break-even point is 15 games.

• The break-even point is 20 games.

• The break-even point is 10 games.

A local theater charges $10 per ticket and has a fixed cost of $800. Create a system of equations to represent the situation and find the break-even point.

• 50 tickets

• 100 tickets

• 30 tickets

• 80 tickets

A car wash has a fixed cost of $200 and charges $15 per wash. Write the equations for revenue and cost, and find the number of washes needed to break even.

• 25

• 20

• 14

• 10

A subscription box service has a fixed cost of $250 and charges $25 per box. Write the system of equations and calculate the break-even point in terms of boxes sold.

• 20

• 5

• 10

• 15

A printing company has a fixed cost of $600 and charges $5 per print. Create the equations for revenue and cost, and determine how many prints must be sold to break even.

• 120

• 200

• 150

• 100