Question

Analia is a school district manager. Here are some details about two schools in her district for the last school year:

School A | School B
Number of students: 3000 | 4000
Number of teachers: 190 | 380
Graduation rate: 86%|90%
Budget per student: $10,500|$10,000
% of students in sports club: 62%|68%
Number of sports medals won: 9|7
SAT average: 1200|1050
SAT range(max-min): 900|700

Analia wants to know which school has a higher athletic achievements relative to the budget per student.

Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
A) number of sports medals won divided by budget per student
B) number of sports medals won divided by teachers per student
C) % of students in sports club divided by budget per student
D) % of students in sports club divided by graduation rate

Determine which school has higher athletic achievements relative to the budget per student, according to the two definitions. Did you get the same result for both definitions?
A) Yes according to both definitions, School A has a higher athletic achievement ms relative to the budget per student
B) Yes according to both definitions, School B has a higher athletic achievements relative to the budget per student
C) no the definitions have opposite results

Answer 1

School A has a higher athletic achievement relative to the budget per student according to both definitions.

Step-by-step explanation:

The two definitions that Analia thought of to measure athletic achievements relative to the budget per student are:

A) number of sports medals won divided by budget per student

C) % of students in sports club divided by budget per student

For School A:

A) Number of sports medals won divided by budget per student = 9 / $10,500 = 0.0008571

C) % of students in sports club divided by budget per student = 0.62 / $10,500 = 0.000059

For School B:

A) Number of sports medals won divided by budget per student = 7 / $10,000 = 0.0007

C) % of students in sports club divided by budget per student = 0.68 / $10,000 = 0.000068

Comparing the results:

School A has a higher athletic achievement relative to the budget per student according to both definitions.