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16. Higher Order Thinking This Venn diagram shows the relationship of ratios to rates to unit rates. Describe a real-world situation involving a ratio relationship. Then write the ratio as 2 different equivalent rates and as a unit rate.

Ask by Morrison Erickson. in the United States
Jan 20,2025

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**Real-World Situation:** Planning a road trip and tracking fuel efficiency. **Ratios as Equivalent Rates:** - **Miles per Gallon:** 25 mi/gallon - **Gallons per Mile:** 0.04 gallons/mile **Unit Rate:** - 25 miles per gallon

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Mind Expander

Imagine you're at a fruit market, buying apples and oranges. You find that for every 3 apples you purchase, you get 2 oranges. This creates a ratio of apples to oranges of 3:2. Now, let’s put that into different equivalent rates: you could say that's equivalent to a rate of 3 apples for 2 oranges or 6 apples for 4 oranges. When you break it down to a unit rate, it means you get 1.5 apples for every orange. This clear conversion helps in making informed decisions at the market! In a broader context, understanding ratios and rates can significantly impact our lives. For example, when you're cooking, a recipe might require 4 cups of flour for every 3 cups of sugar. This means the ratio of flour to sugar is 4:3, which can easily be simplified into equivalent rates by considering larger batch sizes or during meal prep. Understanding these conversions helps you scale recipes effortlessly, ensuring your baked goods are always delicious and perfectly balanced!

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