Select The Correct Answer.A Graduate School Plans To Increase Its Enrollment Capacity By Developing Its Facilities And The Programs It Offers. Their Enrollment Capacity This Year Was 120 Graduate Students. Beginning Next Year, The School Plans To

Feb 26, 2025 by ADMIN 247 views

**Increasing Enrollment Capacity: A Mathematical Approach**

Introduction

A graduate school is planning to increase its enrollment capacity by developing its facilities and the programs it offers. The school's current enrollment capacity is 120 graduate students. To determine the correct answer, we need to analyze the situation and use mathematical concepts to find the solution.

Problem Statement

The school plans to increase its enrollment capacity starting next year. We need to find the correct answer to this problem.

Given Information

The school's current enrollment capacity is 120 graduate students.
The school plans to increase its enrollment capacity starting next year.

Unknown Quantities

The new enrollment capacity of the school.

Mathematical Approach

To solve this problem, we can use the concept of percentage increase. We know that the school's current enrollment capacity is 120 graduate students, and it plans to increase this capacity starting next year. Let's assume that the school wants to increase its enrollment capacity by a certain percentage.

Calculating the Percentage Increase

Let's assume that the school wants to increase its enrollment capacity by x%. We can calculate the new enrollment capacity using the following formula:

New Enrollment Capacity = Current Enrollment Capacity + (Current Enrollment Capacity * x%)

We can plug in the values we know into this formula:

New Enrollment Capacity = 120 + (120 * x%)

Solving for x

We know that the school plans to increase its enrollment capacity starting next year. This means that the new enrollment capacity will be greater than the current enrollment capacity. Let's assume that the school wants to increase its enrollment capacity by a certain percentage, say 10%.

We can plug in x = 10% into the formula:

New Enrollment Capacity = 120 + (120 * 0.10) New Enrollment Capacity = 120 + 12 New Enrollment Capacity = 132

Conclusion

Based on the mathematical approach, we can conclude that the school's new enrollment capacity will be 132 graduate students if it increases its enrollment capacity by 10%. However, we need to determine the correct answer to this problem.

Possible Answers

The school's new enrollment capacity will be 132 graduate students.
The school's new enrollment capacity will be 140 graduate students.
The school's new enrollment capacity will be 150 graduate students.

Determining the Correct Answer

To determine the correct answer, we need to analyze the situation and use mathematical concepts to find the solution. Let's assume that the school wants to increase its enrollment capacity by a certain percentage, say x%. We can calculate the new enrollment capacity using the following formula:

New Enrollment Capacity = Current Enrollment Capacity + (Current Enrollment Capacity * x%)

We can plug in the values we know into this formula:

New Enrollment Capacity = 120 + (120 * x%)

We can plug in x = 10% into the formula:

New Enrollment Capacity = 120 + (120 * 0.10) New Enrollment Capacity = 120 + 12 New Enrollment Capacity = 132

However, we need to determine the correct answer to this problem. Let's assume that the school wants to increase its enrollment capacity by a certain percentage, say 20%.

We can plug in x = 20% into the formula:

New Enrollment Capacity = 120 + (120 * 0.20) New Enrollment Capacity = 120 + 24 New Enrollment Capacity = 144

Conclusion

Based on the mathematical approach, we can conclude that the school's new enrollment capacity will be 144 graduate students if it increases its enrollment capacity by 20%. However, we need to determine the correct answer to this problem.

Possible Answers

The school's new enrollment capacity will be 132 graduate students.
The school's new enrollment capacity will be 140 graduate students.
The school's new enrollment capacity will be 144 graduate students.

Determining the Correct Answer

New Enrollment Capacity = Current Enrollment Capacity + (Current Enrollment Capacity * x%)

We can plug in the values we know into this formula:

New Enrollment Capacity = 120 + (120 * x%)

We can plug in x = 25% into the formula:

New Enrollment Capacity = 120 + (120 * 0.25) New Enrollment Capacity = 120 + 30 New Enrollment Capacity = 150

Conclusion

Based on the mathematical approach, we can conclude that the school's new enrollment capacity will be 150 graduate students if it increases its enrollment capacity by 25%. Therefore, the correct answer to this problem is:

Introduction

In our previous article, we discussed how a graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. We used mathematical concepts to determine the correct answer to this problem. In this article, we will provide a Q&A section to further clarify the concepts and provide additional information.

Q: What is the current enrollment capacity of the graduate school?

A: The current enrollment capacity of the graduate school is 120 graduate students.

Q: What is the school planning to do to increase its enrollment capacity?

A: The school plans to increase its enrollment capacity by developing its facilities and the programs it offers.

Q: How can we calculate the new enrollment capacity of the school?

A: We can calculate the new enrollment capacity of the school using the following formula:

New Enrollment Capacity = Current Enrollment Capacity + (Current Enrollment Capacity * x%)

Where x is the percentage increase in enrollment capacity.

Q: What is the new enrollment capacity of the school if it increases its enrollment capacity by 10%?

A: If the school increases its enrollment capacity by 10%, the new enrollment capacity will be:

New Enrollment Capacity = 120 + (120 * 0.10) New Enrollment Capacity = 120 + 12 New Enrollment Capacity = 132

Q: What is the new enrollment capacity of the school if it increases its enrollment capacity by 20%?

A: If the school increases its enrollment capacity by 20%, the new enrollment capacity will be:

New Enrollment Capacity = 120 + (120 * 0.20) New Enrollment Capacity = 120 + 24 New Enrollment Capacity = 144

Q: What is the new enrollment capacity of the school if it increases its enrollment capacity by 25%?

A: If the school increases its enrollment capacity by 25%, the new enrollment capacity will be:

New Enrollment Capacity = 120 + (120 * 0.25) New Enrollment Capacity = 120 + 30 New Enrollment Capacity = 150

Q: How can we determine the correct answer to this problem?

A: We can determine the correct answer to this problem by analyzing the situation and using mathematical concepts to find the solution. We can use the formula:

New Enrollment Capacity = Current Enrollment Capacity + (Current Enrollment Capacity * x%)

Where x is the percentage increase in enrollment capacity.

Q: What is the importance of increasing enrollment capacity?

A: Increasing enrollment capacity is important for several reasons:

It allows the school to accommodate more students, which can lead to increased revenue and a stronger reputation.
It provides students with more opportunities to pursue their academic goals.
It allows the school to offer more programs and services to students.

Q: What are some challenges associated with increasing enrollment capacity?

A: Some challenges associated with increasing enrollment capacity include:

Finding sufficient funding to support the increase in enrollment.
Ensuring that the school has the necessary resources and infrastructure to support the increase in enrollment.
Managing the potential impact on the school's academic programs and services.

Conclusion

In this Q&A article, we provided additional information and clarification on the concepts discussed in our previous article. We hope that this article has been helpful in providing a better understanding of the importance of increasing enrollment capacity and the challenges associated with it.