Student Project Guide

Pitch Deck Planner

Designing Your Summer Business using Systems of Equations

The Summer Startup

Algebra 1 Project

Student Name(s)

Date

Class Period

Your Entrepreneurial Mission

You and your business partner are launching a brand new service or selling a product this summer. Your task is to calculate exactly what it will cost to start, how much you will charge per unit, and determine the exact number of sales needed to break even.

Step 1: Define Your Business

1. Proposed Business Name

2. Describe the product or service

Pricing Guidance

Make sure your price is reasonable but higher than your individual variable costs. If a burger costs $3 to make, charging $2 ensures you never make a profit!

Our Selling Price ($p$) per unit:

$ / per unit

Step 2: Itemize Your Expenses

A. Fixed Costs (One-time Setup)

Item/Expense	Cost ($)
Permit / License	$ ______
Equipment / Tools	$ ______
Marketing / Flyers	$ ______
Total Fixed ($b$)	$ ______

B. Variable Costs (Per Unit)

Material/Supply	Cost ($)
Raw Materials	$ ______
Packaging / Bag	$ ______
Hourly Help / Fees	$ ______
Total Variable ($m$)	$ ______

The Summer Startup • Student Project Worksheet Page 1 of 2

Student Project Guide

Pitch Deck Planner

Designing Your Summer Business using Systems of Equations

Part 2

Break-Even Solver

Step 3: Build Your System of Equations

Using your totals from Step 2, formulate your math functions. Let x equal the number of units sold, and let y equal total dollars.

Total Cost Function

Structure: $y = \text{Variable Cost} \cdot x + \text{Fixed Cost}$

y = x +

Total Revenue Function

Structure: $y = \text{Selling Price} \cdot x$

y = x

Step 4: Solve the System Algebraically

Solve the system of equations by setting them equal to each other ($\text{Revenue} = \text{Cost}$). Show all steps of your multi-step algebraic work in the container below.

SHOW YOUR STEPS HERE

Units Sold ($x$): x = _________ units

Total Value ($y$): y = $_________

Step 5: Entrepreneur Reflection

1. What does the intersection point $(x, y)$ represent in terms of your business? Explain what happens to your company if you sell fewer units.

2. If you decide to raise your selling price per unit, how does this affect your revenue function, and what will happen to your break-even point?

The Summer Startup • Student Project Worksheet Page 2 of 2

Pitch Deck Planner Activity

Pitch Deck Planner Activity

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