Graphing Break Even Points in Real-World Scenarios

A local bakery sells cupcakes for $3 each and cookies for $2 each. If the bakery wants to break even after spending $120 on ingredients, how many cupcakes and cookies must they sell?

• 10 cupcakes and 30 cookies

• 40 cupcakes and 0 cookies, or any combination that satisfies 3x + 2y = 120.

• 20 cupcakes and 20 cookies

• 30 cupcakes and 15 cookies

A gym charges a monthly fee of $40 and an additional $5 per class. Another gym charges a flat fee of $60 for unlimited classes. How many classes must a member take at the first gym to break even with the second gym?

• 6

• 4

• 8

• 2

A company produces two types of gadgets. The cost to produce type A is $15 per unit, and type B is $10 per unit. If the company has a budget of $300, how many units of each type can they produce to break even?

• 5 units of type A and 20 units of type B

• 20 units of type A and 5 units of type B

• 10 units of type A and 15 units of type B

• 15 units of type A and 10 units of type B

A concert venue has fixed costs of $5000 and sells tickets for $50 each. How many tickets must be sold to break even?

• 100

• 75

• 200

• 50

A farmer sells apples for $1.50 per pound and pears for $2.00 per pound. If the farmer wants to earn at least $300, how many pounds of each fruit must be sold?

• 100 pounds of apples and 100 pounds of pears

• 200 pounds of apples or 150 pounds of pears, or any combination that meets the revenue requirement.

• 50 pounds of pears

• 250 pounds of apples

A school is organizing a fundraiser selling T-shirts for $20 each and hats for $15 each. If they want to raise $1000, how many of each item must they sell?

• 30 T-shirts and 20 hats

• 10 T-shirts and 60 hats

• 20 T-shirts and 40 hats

• 25 T-shirts and 25 hats

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges $50 for unlimited miles. How many miles must a customer drive with the first company to break even with the second?

• 75 miles

• 50 miles

• 100 miles

• 120 miles

A coffee shop sells lattes for $4 and pastries for $2. If the shop wants to cover its $200 monthly rent, how many lattes and pastries must it sell?

• 25 lattes and 50 pastries

• 0 lattes and 100 pastries

• 50 lattes and 0 pastries, or any combination satisfying 4x + 2y = 200.

• 100 lattes and 0 pastries

A tech company sells software for $100 per license and offers a subscription service for $10 per month. If they want to break even after $2000 in costs, how many licenses or months of subscriptions do they need to sell?

• 150 licenses or 150 months of subscriptions

• 250 licenses or 250 months of subscriptions

• 100 licenses or 100 months of subscriptions

• 200 licenses or 200 months of subscriptions

A local theater sells tickets for $12 each and has fixed costs of $2400. How many tickets must be sold to break even?

• 300

• 150

• 200

• 250