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Overview
7th Grade Math
16. MA.7.AR.4.5
16.2 Applications of linear relationships
Applications of Linear Relationships
See how linear relationships model everyday situations like cost, distance, and savings, and learn to turn word problems into equations you can solve.
What You'll Learn
Linear relationships model situations that change at a constant rate, such as cost, distance, or savings over time
The slope of a linear relationship represents the rate of change, while the y-intercept represents the starting value
Word problems become equations of the form y = mx + b by identifying the rate and the starting amount
Graphing the equation helps visualize how the quantity changes and lets you read off values without extra calculation
Checking units and plugging the answer back into the original problem confirms whether a solution makes sense
What You'll Practice
1
Writing revenue and profit equations from word problem scenarios
2
Creating tables of values and graphing linear relationships
3
Solving equations to find break-even points and specific profit targets
4
Substituting values to calculate profits for different sales amounts
Why This Matters
Linear relationships help you understand how businesses make decisions about pricing, costs, and profits. Whether you're planning a fundraiser, starting a business, or managing a budget, these skills let you predict outcomes and make smart financial choices in real life.
Before You Start — Make Sure You Can:
This Unit Includes
13 Video lessons
Learning resources
Skills
Linear Equations
Word Problems
Revenue and Profit
Tables of Values
Graphing
Break-Even Analysis
Substitution
Real-World Applications
FL Curriculum Aligned