To find the appropriate proportion that describes the relationship between the number of buses and the number of students, we can observe the provided ratios:
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For the first bus ratio: We have 2 buses for 75 students. This can be written as the fraction \( \frac{2}{75} \).
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For the second bus ratio: We have 8 buses for 300 students. This can be written as the fraction \( \frac{8}{300} \).
Next, we can compare these two fractions:
- The first ratio is \( \frac{2}{75} \).
- The second ratio is \( \frac{8}{300} \).
Now, looking at the response options:
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Start Fraction 2 over 75 End Fraction equals Start Fraction 300 over 8 End Fraction (This is incorrect because \( \frac{2}{75} \) does not equal \( \frac{300}{8} \)).
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275 ≠ 8300 (This one is not a proportion statement).
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Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction (This is incorrect as \( \frac{75}{2} \) does not equal \( \frac{8}{300} \)).
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Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction (This is incorrect because they are not equal).
Looking at the relationship between the number of buses and students, we can simplify recognizing that:
- Both ratios represent how many students can be handled per bus.
- A true proportion shows that the two ratios would be equivalent under simplification.
With that understanding, the correct answer to describe the relationship in proportions seems to correlate most directly with the original pairs of values presented. Evaluating all the options, none of them show a true equivalency, however:
The option that articulates an equivalency approach would be:
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
This, while not simplified, maintains that both ratios relate to the original question of proportions and suggest an inherent relationship.
Thus, the correct answer is: Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction.