#Ratios, Rates, and Proportions: Your Ultimate Guide 🚀

Hey there, future AP champ! Let's break down ratios, rates, and proportions – the secret weapons for acing the SAT Math section. This guide is designed to be your go-to resource, especially the night before the exam. Let's make sure you're feeling confident and ready to rock!

#Fundamental Concepts: The Building Blocks

#What's the Deal?

• Ratio: Compares two quantities, like apples to oranges. Think of it as a fraction – a/b. Always simplify it! 🍎🍊
• Rate: Compares two quantities with different units, like speed (miles per hour). It’s all about the relationship over a specific interval (time or distance).
• Unit Rate: A rate where the denominator is 1 unit. Super handy for quick comparisons! (e.g., $2.50 per pound).
• Proportion: Two ratios set equal to each other: a/b = c/d. It's like saying two fractions are equivalent.
• Cross Multiplication: A trick to solve proportions: ad = bc. Product of means equals product of extremes.

#Examples in Action

• Ratio Example: A fruit basket has 3 apples and 2 oranges. The ratio of apples to oranges is 3:2. * Rate Example: A car travels at 60 miles per hour (60 mph).
• Unit Rate Example: Cost per item is $2.50 per pound.
• Proportion Example: Scaling a recipe: 2 cups of sugar for 4 servings = x cups of sugar for 6 servings.
• Cross Multiplication Example: Solve 3/4 = x/12. You get 3 * 12 = 4x.
• Real-World Application: Mixing paint – 2 parts blue : 1 part yellow.

#Solving Problems: Step-by-Step <...