#Linear Relationships: Your Guide to Conquering Word Problems 🚀

Hey there! Ready to make word problems your playground? This guide is your go-to for mastering linear relationships, packed with everything you need for the AP SAT (Digital) exam. Let's dive in!

#Understanding Linear Relationships

Linear relationships are all about that straight-line action! They help us connect real-world scenarios to math equations, showing how things change at a constant rate. Think of it as your math superpower for everyday life. Let's break it down:

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• What it is: Slope (often represented by 'm') shows how much the dependent variable (y) changes for every one unit increase in the independent variable (x).
• Real-world examples:
  • Car rental: Slope = cost per mile driven
  • Business: Slope = profit increase per unit sold
• Types of slopes:
  • Positive slope: Direct relationship (as x increases, y increases)
  • Negative slope: Inverse relationship (as x increases, y decreases)
• Steeper slope: Faster rate of change

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• What it is: The y-intercept (often represented by 'b') is the value of the dependent variable (y) when the independent variable (x) is zero.
• Real-world examples:
  • Car rental: Y-intercept = fixed base rental fee
  • Savings account: Y-intercept = initial deposit amount
  • Note: Sometimes, a y-intercept might be a theoretical starting point if x=0 isn't practical.

#Modeling with Linear Equations

#Setting Up Equations: T...