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 academic achievements relative to the number of teachers per student.
- 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) Graduation rate divided by number of teachers A Graduation rate divided by number of teachers (Choice B) Graduation rate divided by teachers per student B Graduation rate divided by teachers per student (Choice C) SAT average divided by number of teachers C SAT average divided by number of teachers (Choice D) SAT average divided by teachers per student D SAT average divided by teachers per student
- 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? Choose 1 answer: Choose 1 answer: (Choice A) Yes. According to both definitions, school A has higher academic achievements relative to the number of teachers per student. 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. 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. C No. The definitions have opposite results.
Solution
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Division
SAT scores
Graduation rates
Formulas
Teachers per student = Number of teachers / Number of students
Graduation rate per teacher = Graduation rate / Number of teachers
SAT per teacher-student ratio = SAT average / Teachers per student
Theorems
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Suitable Grade Level
Grades 8-10
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