Defining appropriate quantities for modeling

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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 higher academic achievements relative to the number of teachers per student.

1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

2) Determine which school has higher academic achievements relative to the number of teachers per student, according to the two definitions. Did you get the same result for both definitions?

(Choice A)
Yes. According to both definitions, school A has higher academic achievements relative to the number of teachers per student.
(Choice B)
Yes. According to both definitions, school B has higher academic achievements relative to the number of teachers per student.
(Choice C)
No. The definitions have opposite results.

Algebra 1

Course: Algebra 1 > Unit 3

Problem