The table shows the number of classrooms needed for different numbers of students.

Total Students Classrooms
66 3
110 5
154 7
220 10

What is the relationship between Total Students and Classrooms?
A.Classrooms=Total Students divided 33
B.Classrooms=Toal Students subtract 63
C.Classrooms=Total Students divided 22
D.Classrooms=Total Students multiply 22
D?

Total Students

66
110
154
220

Classrooms
3
5
7
10

66(students)=3(classroom)
110(students)=5(classroom)
154(students)=7(classroom)
220(students)=10(classroom)

This is the table to answer the question
The table I posted first looked cofusing

Nope. Please think some more and try again.

Does 66 * 22 = 3?

I thought it was 22 times 3 but I read the answers wrong

Yes. C is right.

To determine the relationship between Total Students and Classrooms from the given table, we need to observe the pattern and find a consistent calculation that relates the two variables.

Looking at the data, we can see that as the number of Total Students increases, the number of Classrooms needed also increases. Let's examine the differences between the values.

(110 - 66) = 44
(154 - 110) = 44
(220 - 154) = 66

We can see that the difference between the Total Students values is not consistent. Therefore, we can conclude that the relationship between Total Students and Classrooms is not a simple arithmetic progression.

Now, let's consider the Classrooms values:

3
5
7
10

Looking at these numbers, we can observe that they are increasing but not in a linear pattern. However, if we consider the number of Classrooms as a function of Total Students, we can see a relationship that can be represented by dividing Total Students by a constant value.

To find this constant value, we can use any two pairs of Total Students and Classrooms from the table. Let's use the first and second pairs: (66, 3) and (110, 5).

Using these pairs, we can calculate the constant:

Constant = (Classrooms2 - Classrooms1) / (Total Students2 - Total Students1)
= (5 - 3) / (110 - 66)
= 2 / 44
= 1/22

So, the relationship between Total Students and Classrooms can be expressed as:

Classrooms = Total Students / 22

Therefore, the correct answer is C. Classrooms = Total Students divided by 22.