Break-Even Point Challenges: Set Up Linear Equations

A bakery sells cupcakes for $3 each and has fixed costs of $150 per month. How many cupcakes must they sell to break even?

• 100

• 75

• 30

• 50

A gym charges a monthly membership fee of $40 and has fixed costs of $800. Write a linear equation to find out how many members they need to break even.

• 20

• 30

• 25

• 15

A lemonade stand has fixed costs of $20 and sells lemonade for $2 per cup. How many cups must they sell to break even?

• 10 cups

• 5 cups

• 15 cups

• 20 cups

A company produces t-shirts at a cost of $10 each and sells them for $15 each. How many t-shirts must they sell to cover their fixed costs of $300?

• 45

• 75

• 30

• 60

A movie theater charges $10 per ticket and has fixed costs of $1,200. Set up a linear equation to determine how many tickets must be sold to break even.

• 200 tickets

• 100 tickets

• 150 tickets

• 120 tickets

A car wash has fixed costs of $500 and charges $15 per wash. How many washes are needed to break even?

• 25

• 50

• 20

• 34

A subscription box service has fixed costs of $200 and charges $25 per box. How many boxes must they sell to break even?

• 8

• 10

• 12

• 5

A farmer sells apples for $1.50 each and has fixed costs of $300. Write a linear equation to find the break-even point.

• 250 apples

• 150 apples

• 200 apples

• 100 apples

A concert venue has fixed costs of $5,000 and sells tickets for $50 each. How many tickets must they sell to break even?

• 75

• 200

• 100

• 50

A coffee shop has fixed costs of $1,000 and sells coffee for $4 per cup. How many cups must they sell to break even?

• 300 cups

• 150 cups

• 250 cups

• 200 cups