7. The load, P (in pounds), that can be safely supported by a horizontal beam varies jointly as the product of the width, W (in feet), of the beam and the square of the depth, D (in feet), and inversely as its length, L (in feet). If a beam has a width of 2 feet, a depth of 1 foot and a length of 4 feet, the load it can support is 10 pounds. How much could the beam hold if the beam had a length of 6 feet, a depth of 2 feet, and a width of 3 feet?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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7. The load, P (in pounds), that can be safely supported by a horizontal beam varies jointly as the
product of the width, W (in feet), of the beam and the square of the depth, D (in feet), and inversely
as its length, L (in feet). If a beam has a width of 2 feet, a depth of 1 foot and a length of 4 feet, the
load it can support is 10 pounds. How much could the beam hold if the beam had a length of 6
feet, a depth of 2 feet, and a width of 3 feet?
Transcribed Image Text:7. The load, P (in pounds), that can be safely supported by a horizontal beam varies jointly as the product of the width, W (in feet), of the beam and the square of the depth, D (in feet), and inversely as its length, L (in feet). If a beam has a width of 2 feet, a depth of 1 foot and a length of 4 feet, the load it can support is 10 pounds. How much could the beam hold if the beam had a length of 6 feet, a depth of 2 feet, and a width of 3 feet?
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