Question
if two buses are needed to transport 75 students aquarium and eight buses can transport 300 students to the aquarium which poor portion describes relationship between the number of buses and the number of students
2/75 equals with/through 8/300
2/75 equals 300/8
75/ 2 equals 8/300
2/75 equals 8/300
2/75 equals with/through 8/300
2/75 equals 300/8
75/ 2 equals 8/300
2/75 equals 8/300
Answers
GPT-4o mini
To analyze the relationship between the number of buses and the number of students, we can set up a proportion based on the information provided.
From the information given:
- 2 buses can transport 75 students.
- 8 buses can transport 300 students.
We can express this relationship as a proportion:
\[
\frac{2 \text{ buses}}{75 \text{ students}} = \frac{8 \text{ buses}}{300 \text{ students}}
\]
This shows that the ratios of buses to students are equal.
Now let’s check each of the options you've provided:
1. \( \frac{2}{75} = \frac{8}{300} \) - This is **True** since both ratios simplify to the same value.
2. \( \frac{2}{75} = \frac{300}{8} \) - This is **False** since these ratios do not equate.
3. \( \frac{75}{2} = \frac{8}{300} \) - This is **False** since these ratios do not equate.
4. \( \frac{2}{75} = \frac{8}{300} \) - This is **True** (same as option 1).
Thus, the correct proportion that describes the relationship between the number of buses and the number of students is:
\[
\frac{2}{75} = \frac{8}{300}
\]
So either option 1 or option 4 accurately represents the relationship.
From the information given:
- 2 buses can transport 75 students.
- 8 buses can transport 300 students.
We can express this relationship as a proportion:
\[
\frac{2 \text{ buses}}{75 \text{ students}} = \frac{8 \text{ buses}}{300 \text{ students}}
\]
This shows that the ratios of buses to students are equal.
Now let’s check each of the options you've provided:
1. \( \frac{2}{75} = \frac{8}{300} \) - This is **True** since both ratios simplify to the same value.
2. \( \frac{2}{75} = \frac{300}{8} \) - This is **False** since these ratios do not equate.
3. \( \frac{75}{2} = \frac{8}{300} \) - This is **False** since these ratios do not equate.
4. \( \frac{2}{75} = \frac{8}{300} \) - This is **True** (same as option 1).
Thus, the correct proportion that describes the relationship between the number of buses and the number of students is:
\[
\frac{2}{75} = \frac{8}{300}
\]
So either option 1 or option 4 accurately represents the relationship.
Choose only one option
GPT-4o mini
The correct option that describes the relationship between the number of buses and the number of students is:
**\( \frac{2}{75} = \frac{8}{300} \)**
This option correctly represents the proportional relationship.
**\( \frac{2}{75} = \frac{8}{300} \)**
This option correctly represents the proportional relationship.