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
The proportion that describes the relationship between the number of buses and the number of students is 2 buses/75 students = 8 buses/300 students.
To describe the relationship between the number of buses and the number of students, you can set up a proportion.
Let's assume:
x = number of buses needed to transport 75 students
Based on the information provided:
2 buses can transport 75 students
8 buses can transport 300 students
We can set up the proportion as follows:
2 buses / 75 students = 8 buses / 300 students
To simplify the proportion, we can cross-multiply:
(2 buses) * (300 students) = (8 buses) * (75 students)
600 students = 600 students
Therefore, the proportion that describes the relationship between the number of buses and the number of students is 2 buses / 75 students = 8 buses / 300 students.
To determine the proportion that describes the relationship between the number of buses and the number of students, you can use a ratio. Here's how you can calculate it:
First, find the ratio of buses to students needed for the first scenario:
2 buses / 75 students = 2/75
Next, find the ratio of buses to students for the second scenario:
8 buses / 300 students = 8/300
Now, compare the two ratios to find the proportion that describes the relationship between the number of buses and the number of students:
(2/75) : (8/300)
To simplify this proportion, you need to find a common factor that can be divided evenly into both the numerator and the denominator. In this case, the common factor is 2:
(2/75) : (8/300) = (2 * 2) / (75 * 2) : (8 * 2) / (300 * 2)
= 4/150 : 16/600
Now, you can further simplify the proportion by dividing both the numerator and denominator by the greatest common divisor, which is 4:
(4/150) : (16/600) = 1/37.5 : 4/150
Therefore, the proportion that describes the relationship between the number of buses and the number of students is 1/37.5 : 4/150.