Question
If the number of professors in a college is P and the number of students S , and there are 11 times as many students as professors, write an algebraic equation that shows the relationship.
Ask by Maxwell Pierce. in the United States
Dec 14,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\[ S = 11P \]
Solution
Let's denote the number of professors as \( P \) and the number of students as \( S \).
Given that there are 11 times as many students as professors, we can write this relationship as an algebraic equation:
\[ S = 11P \]
This equation shows the relationship between the number of students and the number of professors in the college.
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Simplify this solution The Deep Dive
In this scenario, you can express the relationship between professors and students with the equation S = 11P. This means that for every professor in the college, there are 11 students, painting a clear picture of the student-to-professor ratio that underscores the dynamics of the educational environment. Now, if you're solving for one variable, like the number of professors based on students, you can simply rearrange the equation to find P = S/11. This can help in resource planning to ensure there are enough professors to adequately support the student body, which is crucial for maintaining a high-quality education.
