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Use the given information to find the unknown value. y varies inversely with the cube of r. When - 5, then y 1. Find y when a = 1 Enter the exact answer. Y Number

Use the given information to find the unknown value. y varies inversely with the cube of r. When - 5, then y 1. Find y when a = 1 Enter the exact answer. Y Number

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
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**Finding the Unknown Value** Use the given information to find the unknown value. --- y varies inversely with the cube of x. When x = 5, then y = 1. Find y when x = 1. Enter the exact answer: y = _______ --- Explanation: This problem requires using the concept of inverse variation. Specifically, \( y \) varies inversely as the cube of \( x \). The relationship can be written as \( y = \frac{k}{{x^3}} \), where \( k \) is a constant. Based on the given values \( x = 5 \) and \( y = 1 \), you can solve for \( k \) and then use this to find the value of \( y \) when \( x = 1 \).
Transcribed Image Text:**Finding the Unknown Value** Use the given information to find the unknown value. --- y varies inversely with the cube of x. When x = 5, then y = 1. Find y when x = 1. Enter the exact answer: y = _______ --- Explanation: This problem requires using the concept of inverse variation. Specifically, \( y \) varies inversely as the cube of \( x \). The relationship can be written as \( y = \frac{k}{{x^3}} \), where \( k \) is a constant. Based on the given values \( x = 5 \) and \( y = 1 \), you can solve for \( k \) and then use this to find the value of \( y \) when \( x = 1 \).
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