Real-World Application: Break-Even Point Analysis

Question:
A small bakery has a cost equation C equals 150 plus 4x, and a revenue equation R equals 9x, where x is the number of loaves of bread. Graph both equations on the same coordinate plane and find the break-even point where cost equals revenue. Interpret what this point means in context.

Real-World Application: Break-Even Point Analysis

This lesson uses a bakery cost-and-revenue scenario to explore systems of linear equations. Students graph both equations on the same coordinate plane, solve the system algebraically by setting the two expressions equal, and interpret the intersection point as the break-even point in context.

In this lesson, you will learn to:
• Identify and write a system of two linear equations from a real-world context
• Solve a system of linear equations algebraically using the substitution/elimination method
• Graph two linear equations on the same coordina