Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?
![**Problem Statement:**
The maximum load (\(L\)) that a horizontal beam can carry is directly proportional to its width (\(W\)). If a beam 3.0 inches wide can support a maximum load of 220 lbs, find the load that a beam (of the same type of material) can support if its width is 2.0 inches wide.
**Question:**
What is the constant of variation?
**Solution Approach:**
1. The relationship between the load and the width of the beam is given by:
\[
L = k \cdot W
\]
where \(k\) is the constant of variation.
2. With the given information for a 3.0-inch wide beam supporting a 220 lbs load, solve for \(k\).
3. Use the value of \(k\) to find the load for a beam that is 2.0 inches wide.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a94607-ae05-49d2-a989-bd66a70c4a42%2Feee0a774-cd50-48f7-b197-4f198624943b%2F95l734zi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The maximum load (\(L\)) that a horizontal beam can carry is directly proportional to its width (\(W\)). If a beam 3.0 inches wide can support a maximum load of 220 lbs, find the load that a beam (of the same type of material) can support if its width is 2.0 inches wide.
**Question:**
What is the constant of variation?
**Solution Approach:**
1. The relationship between the load and the width of the beam is given by:
\[
L = k \cdot W
\]
where \(k\) is the constant of variation.
2. With the given information for a 3.0-inch wide beam supporting a 220 lbs load, solve for \(k\).
3. Use the value of \(k\) to find the load for a beam that is 2.0 inches wide.
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