If a faucet fills a 10-gallon tank in 5 minutes, how long will it take to fill a 30-gallon tank at the same rate? What is a ratio scale on a map?
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- Problems about direct and inverse variation.
- How are ratios used in recipes? If a recipe calls for a ratio of 2 parts flour to 1 part sugar, and you use 1 cup of sugar, how much flour do you need?
- How do you identify if a relationship is an inverse proportion?
- What is the ratio of apples to oranges if there are 5 apples and 3 oranges? What is the ratio of boys to girls if there are 10 boys and 12 girls?
- How can ratios help in unit conversion? Convert 10 kilometers to miles using the approximate ratio 5 miles 8 kilometers.
- Comparing different geographical areas based on various ratios (e.g., land use, population demographics).
- Interpret the meaning of the resulting rate in terms of the given units. What are some common misconceptions about ratios that people often have?
- Using ratios responsibly to avoid misleading or unfair comparisons. How can you use ratios to understand the scale of large numbers or very small numbers?
- What is the ratio of 500 grams to 2 kilograms? How can you use ratio and proportion to solve problems involving mixtures?
- How is a rate different from a ratio? A car travels at a speed of 60 miles per hour. Is this a ratio or a rate?
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