Math Problem Statement

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 athletic achievements relative to the budget per student.

  1. Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) Number of sports medals won divided by budget per student A Number of sports medals won divided by budget per student (Choice B) Number of sports medals won divided by teachers per student B Number of sports medals won divided by teachers per student (Choice C) % of students in sports club divided by budget per student C % of students in sports club divided by budget per student (Choice D) % of students in sports club divided by graduation rate D % of students in sports club divided by graduation rate
  2. 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? Choose 1 answer: Choose 1 answer: (Choice A) Yes. According to both definitions, School A has higher athletic achievements relative to the budget per student. A Yes. According to both definitions, School A has higher athletic achievements relative to the budget per student. (Choice B) Yes. According to both definitions, School B has higher athletic achievements relative to the budget per student. B Yes. According to both definitions, School B has higher athletic achievements relative to the budget per student. (Choice C) No. The definitions have opposite results. C No. The definitions have opposite results.

Solution

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Math Problem Analysis

Mathematical Concepts

Division
Ratios
Proportional Analysis

Formulas

Athletic achievements per budget: Medals / Budget per student
% of students in sports per budget: % of students in sports / Budget per student

Theorems

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Suitable Grade Level

Grades 9-11