Question

Select all the correct answers.
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75
Which teacher-to-student ratio maintains the proportional relationship described in the table?
Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125
its all that apply

Answer 1

Find the correct teacher to student ratio

Definition:

The ratio is the relationship or comparison between two quantities of the same until to check how bigger is one number than the other one.

Step-by-step explanation:

Case1:

Teachers:Students=5:125

$\frac{5}{125}=\frac{1}{25}$

It satisfied the grade 6 teacher to student ratio and maintains the proportional relationship.

Case2:

Teachers:Students=4:120

$\frac{4}{120}=\frac{1}{20}(or)\frac{2}{60}$

It does not satisfied the any grade teacher to student ratio and does not maintains the proportional relationship.

Case3:

Teachers:Students=4:100

$\frac{4}{100}=\frac{1}{25}$

It satisfied the grade 6 teacher to student ratio and maintains the proportional relationship.

Case4:

Teachers:Students=6:130

$\frac{6}{130}=\frac{2}{65}$

It does not satisfied the any grade teacher to student ratio and does not maintains the proportional relationship.

Case5:

Teachers:Students=7:125

$\frac{7}{125}=\frac{7}{125}$

It does not satisfied the any grade teacher to student ratio and does not maintains the proportional relationship.

Therefore,only the teacher to student ratio (5:125 ) and (4:100) satisfies the grade and maintains the proportional relationship.