QuestionCalculate students per teacher for West (438 students, 22 teachers) and East (697 students, 27 teachers). Discuss proportionality.

Studdy Solution

STEP 1

Assumptions1. The number of students at West Elementary School is438. The number of full-time teachers at West Elementary School is223. The number of students at East Elementary School is6974. The number of full-time teachers at East Elementary School is27

STEP 2

First, we need to calculate the number of students per teacher at West Elementary School. We can do this by dividing the number of students by the number of teachers.
$Students\, per\, teacher\, at\, West\, Elementary\, School = \frac{Number\, of\, students}{Number\, of\, teachers}$

STEP 3

Now, plug in the given values for the number of students and number of teachers at West Elementary School to calculate the students per teacher.
$Students\, per\, teacher\, at\, West\, Elementary\, School = \frac{438}{22}$

STEP 4

Calculate the number of students per teacher at West Elementary School.
$Students\, per\, teacher\, at\, West\, Elementary\, School = \frac{438}{22} =20$

STEP 5

Next, we need to calculate the number of students per teacher at East Elementary School. We can do this by dividing the number of students by the number of teachers.
$Students\, per\, teacher\, at\, East\, Elementary\, School = \frac{Number\, of\, students}{Number\, of\, teachers}$

STEP 6

Now, plug in the given values for the number of students and number of teachers at East Elementary School to calculate the students per teacher.
$Students\, per\, teacher\, at\, East\, Elementary\, School = \frac{697}{27}$

STEP 7

Calculate the number of students per teacher at East Elementary School.
$Students\, per\, teacher\, at\, East\, Elementary\, School = \frac{697}{27} \approx26$

STEP 8

Now, we need to determine if the relationship between the number of students per teacher is proportional. If the ratio of students to teachers is the same at both schools, the relationship is proportional. $\frac{Students\, per\, teacher\, at\, West\, Elementary\, School}{Students\, per\, teacher\, at\, East\, Elementary\, School} = \frac{20}{26} \approx0.77$ Since the ratio is not equal to1, the relationship is not proportional.

STEP 9

Since the relationship is not proportional, we need to determine at which school a child would get more attention. This would be the school with fewer students per teacher.
Comparing the students per teacher at both schools, we can see that a child would get more attention at West Elementary School because it has fewer students per teacher.

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