DO NOW:

Copy down your homework: Finish lesson 2-1 & 2-2 Practice

Formula quiz tomorrow!!!

Warm-Up: Solve the following two-step equations and justify each step.

2 𝑥−3=−17 𝑛2+5=−3

2 𝑥−3=−17

Steps Property/explanation

𝑛2+5=−3

Steps Property/explanation

QUIZ TIME!!!Solving two step

equations

BREAK-EVEN PROBLEMS Mini-lesson

BREAK-EVEN PROBLEMS

Break-even point – the point at which the income (revenue) of a business equals the expenses (cost)

Equation for cost = equation for revenue

BREAK-EVEN #1

Suppose you have a typing service. You buy a personal computer for $1400 on which to do your typing. You charge $5.70 per page for typing. You must pay $0.70 per page for ink, paper, electricity, and other expenses. How many pages must you type to break even?

280 pages

PROFIT (THE $$$ YOU KEEP!) If you typed 500 pages, what would your profit

be? To find out, use the equation below:

Profit = revenue – cost

BREAK-EVEN #2

Amber decided to sell necklaces she made. She bought a large kit of multi-colored beads and necklace fasteners for $49.00 and her other materials cost $3.00 per necklace. She sold the necklaces for $10.00 each. How many necklaces will she have to sell to break even?

7 necklaces

PROFIT (THE $$$ YOU KEEP!) If she sold 15 necklaces, what would her profit be? To find out, use the equation below:

Profit = revenue – cost

BREAK-EVEN #3

It costs The Acme Widget Company $100 to rent a space for their business plus $2.00 for the material and labor per widget. If the widget is sold for $4.00, now many widgets must be sold to break even?

50 widgets

PROFIT (THE $$$ YOU KEEP!) If you sold 75 widgets, what would your profit be? To find out, use the equation below:

Profit = revenue – cost

BREAK-EVEN #4 Suppose you are starting an office-cleaning

service. You have spent $315 on equipment. To clean an office, you use $4 worth of supplies. You charge $25 per office. How many offices must you clean to break even?

15 offices

PROFIT (THE $$$ YOU KEEP!) If you cleaned 18 offices, what would your profit

be? To find out, use the equation below:

Profit = revenue – cost

BREAK-EVEN #5

Suppose you invest $1500 in equipment to put pictures on T-shirts. You buy each T-shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many T-shirts must you sell to break even?

89 T-shirts

PROFIT (THE $$$ YOU KEEP!) If you sold 100 shirts, what would your profit be? To find out, use the equation below:

Profit = revenue – cost