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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Hi I tried to solve this but I couldn’t please help
![**Problem Statement:**
Express the statement as an equation. Use the given information to find the constant of proportionality \( k \).
**Given:**
\( W \) is inversely proportional to the square of \( r \). If \( r = 5 \), then \( W = 3 \).
**Instructions:**
To solve this problem, we need to express the relationship between \( W \) and \( r \) using an equation that involves the constant of proportionality \( k \). An inverse relationship suggests that as one value increases, the other decreases. The mathematical representation for this is:
\[ W = \frac{k}{r^2} \]
By substituting the given values (\( r = 5 \) and \( W = 3 \)) into the equation, you can solve for \( k \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb96cbef8-ab64-43b1-a923-6a8582f58768%2F9b375fcf-801a-4c54-81f9-4c574acd7044%2Fmg717fs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Express the statement as an equation. Use the given information to find the constant of proportionality \( k \).
**Given:**
\( W \) is inversely proportional to the square of \( r \). If \( r = 5 \), then \( W = 3 \).
**Instructions:**
To solve this problem, we need to express the relationship between \( W \) and \( r \) using an equation that involves the constant of proportionality \( k \). An inverse relationship suggests that as one value increases, the other decreases. The mathematical representation for this is:
\[ W = \frac{k}{r^2} \]
By substituting the given values (\( r = 5 \) and \( W = 3 \)) into the equation, you can solve for \( k \).
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