To find the proportion that describes the relationship between the number of buses and the number of students, we can set up a ratio based on the provided information.
From the first scenario:
- 2 buses transport 75 students. This gives us the ratio: \[ \text{Ratio of buses to students} = \frac{2 \text{ buses}}{75 \text{ students}} \]
From the second scenario:
- 8 buses transport 300 students. This gives us the ratio: \[ \text{Ratio of buses to students} = \frac{8 \text{ buses}}{300 \text{ students}} \]
We can express the relationship in terms of a single proportion. Both scenarios provide valid ratios describing the same relationship between the number of buses (B) and the number of students (S). Thus, we can state:
\[ \frac{B}{S} = \frac{2}{75} \quad \text{and} \quad \frac{B}{S} = \frac{8}{300} \]
Therefore, the proportion that describes the relationship between the number of buses and the number of students can be written as: \[ \frac{2}{75} = \frac{8}{300} \]
This is the proportion that illustrates the relationship between the number of buses and the number of students without reducing the ratios to their lowest terms.
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