Linear Word Problems Break Even

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

Write the equation for cost and income.

• Cost: y = 1.50x + 2700

  Income: y = 15x

• Cost: y = 150 + 2700

  Income: y = 1.50x

• Cost: y = 1.50x + 2700

  Income: y = 15

• Cost: y = 2700

  Income: y = 15x + 1.50

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How many hair cuts until they breakeven?

• 200 hair cuts

• 22 hair cuts

• 2700 hair cuts

• 15

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How much profit will they make if they sell 344 haircuts?

(income - cost = profit)

• $1,944

• $1940

• $340

• 340 hair cuts

At a local ballpark a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.

Write an equation for cost and income.

• cost: y = 6x + 4000

  income: y = 10x

• cost: y = 10x + 4000

  income: y = 6x

• cost: y = 10x + 4000

  income: y = 6

• cost: y = 4000x + 10

  income: y = 6x

At a local ballpark a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.

How many tickets must be sold to break even.

• 1000 tickets

• 10,000 tickets

• 600 tickets

• 660 tickets

At a local ballpark a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.

How much profit will they make if they sell 2,230 tickets?

(income - cost = profit)

• $2,230

• $4,920

• $1,000

• $2, 920

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

Write an equation for cost and income

• Cost: y = 2x + 1200

  Income: y = 7x

• Cost: y = 7x + 1200

  Income: y = 2x

• Cost: y = x + 1200

  Income: y = 7

• Cost: y = 2x + 7

  Income: y = 1200x

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

How many people must attend for him to breakeven?

• 240 people

• 170 people

• 600 people

• 133 people

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

How much profit will they make if they sell 567 tickets?

(income - cost = profit )

• $ 1, 867

• $567

• $1,635

• $ 1, 754

At a dinner theatre the owner charges $25 per ticket. She pays her employees $18,500. Each customer leaves with a free dessert that cost the owner $5 per dessert.

Write an equation for cost and income.

• Cost: y = 5x + 18500

  Income: y = 25x

• Cost: y = 5 + 18500

  Income: y = 25

• Cost: y = 25x + 18500

  Income: y = 5x

• Cost: y = 5x + 25

  Income: y = 18500