An equation shows m is directly proportional to n and inversely proportional to s cubed. When m = 5, thenn = 160 and s = 2. What is the constant of proportionality? Write your answer as a fraction.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Mathematics Problem: Determining the Constant of Proportionality**

**Problem Statement:**
An equation shows \( m \) is directly proportional to \( n \) and inversely proportional to \( s \) cubed. When \( m = 5 \), then \( n = 160 \) and \( s = 2 \). What is the constant of proportionality? Write your answer as a fraction.

**Instructions:**
- Determine how \( m \), \( n \), and \( s \) are related through the given direct and inverse proportionalities.
- Use the provided values for \( m \), \( n \), and \( s \) to find the constant of proportionality.
- Express your final answer as a fraction.
Transcribed Image Text:**Mathematics Problem: Determining the Constant of Proportionality** **Problem Statement:** An equation shows \( m \) is directly proportional to \( n \) and inversely proportional to \( s \) cubed. When \( m = 5 \), then \( n = 160 \) and \( s = 2 \). What is the constant of proportionality? Write your answer as a fraction. **Instructions:** - Determine how \( m \), \( n \), and \( s \) are related through the given direct and inverse proportionalities. - Use the provided values for \( m \), \( n \), and \( s \) to find the constant of proportionality. - Express your final answer as a fraction.
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