If 2 buses are needed to transport 75 students to the aquarium and 8 buses can transport 300 students to the aquarium, which proportion describes the relationship between the number of buses and the number of students? (Do not reduce the ratios to their lowest terms.)(1 point)
Responses
2/75 = 300/8
Start Fraction 2 over 75 End Fraction equals Start Fraction 300 over 8 End Fraction
75/2 = 8/300
Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction
2/75 ≠ 8/300
Start Fraction 2 over 75 End Fraction is not equal to Start Fraction 8 over 300 End Fraction
2/75 = 8/300
Correct answer: 2/75 = 8/300
To determine the correct proportion that describes the relationship between the number of buses and the number of students, we need to compare the ratio of buses to students in both situations.
In the first scenario, 2 buses are needed to transport 75 students. We can express this as the ratio 2/75, where the numerator represents the number of buses and the denominator represents the number of students.
In the second scenario, 8 buses can transport 300 students. This can be expressed as the ratio 8/300, again with the numerator representing the number of buses and the denominator representing the number of students.
To compare the two ratios, we can write them as an equation:
2/75 = 8/300
This equation states that the ratio of 2 buses to 75 students is equal to the ratio of 8 buses to 300 students.
The correct proportion that describes the relationship between the number of buses and the number of students is:
2/75 = 8/300