Translate the phrase into an algebraic expression: \( v \) students per 8 buses. Select the correct answer below: \( \frac{v \text { buses }}{8 \text { students }} \) \( \frac{8 \text { buses }}{v \text { students }} \) \( \frac{8 \text { students }}{v \text { buses }} \) \( \frac{v \text { students }}{8 \text { buses }} \)

The translation of "v students per 8 buses" into an algebraic expression represents a ratio where for every 8 buses, there are v students. This means you can express it as \( \frac{v \text{ students}}{8 \text{ buses}} \). So the correct answer is: \( \frac{v \text{ students}}{8 \text{ buses}} \) For a little historical flair, the concept of ratios dates back to ancient civilizations, who used them in trade and agriculture to measure yield per unit like land or livestock! Ratios help simplify and explain relationships between different quantities clearly. On the practical side, understanding ratios is essential in everyday life; from cooking recipes to mixing paint colors, maintaining the right ratio ensures consistency and quality in results. Whether you're adjusting a recipe for a crowd or designing an art piece, knowing how to manipulate and calculate ratios can make all the difference!