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
275 = 8300
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
752 = 8300
Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction
275 ≠ 8300
Start Fraction 2 over 75 End Fraction is not equal to Start Fraction 8 over 300 End Fraction
275 = 3008
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
The correct proportion that describes the relationship between the number of buses and the number of students is:
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
To explain how to arrive at this answer, we can do the following calculations...
First, we can calculate the ratio of students to buses for the given scenario where 2 buses are needed to transport 75 students. This can be done by dividing the number of students (75) by the number of buses (2):
75 / 2 = 37.5
So, for this scenario, the ratio of students to buses is 37.5:1.
Now, let's calculate the ratio of students to buses for the scenario where 8 buses can transport 300 students. Divide the number of students (300) by the number of buses (8):
300 / 8 = 37.5
Similarly, for this scenario, the ratio of students to buses is 37.5:1.
Comparing the two ratios, we can see that they are equal:
37.5:1 = 37.5:1
Therefore, the correct proportion to describe the relationship between the number of buses and the number of students is:
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction