Write a variation model using k as the constant of variation. The variable c varies jointly as d and s and inversely as the cube root of Z. The variation model is UU 176 69 S TEX
Write a variation model using k as the constant of variation. The variable c varies jointly as d and s and inversely as the cube root of Z. The variation model is UU 176 69 S TEX
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 23E
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**Text Transcription for Educational Website:**
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**Title:** Understanding Variation Models
**Content:**
**Write a variation model using \( k \) as the constant of variation.**
The variable \( c \) varies jointly as \( d \) and \( s \) and inversely as the cube root of \( Z \).
**The variation model is \( \large \boxed{\dfrac{kd \cdot s}{\sqrt[3]{Z}}} \).**
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**Explanation of Diagram:**
In the provided diagram, there's an empty box to input the final variation model expression. Below this input box, there is a mathematical symbols toolbar that facilitates the entry of complex mathematical operations and symbols, including:
- **Fraction ( / )**
- **Multiplication ( x )**
- **Square Root ( √ )**
- **Cube Root ( ³√ )**
- **Variables and constants (e.g., \( d \), \( Z \))
This toolbar ensures that the learners can accurately enter the mathematical expressions necessary for the variation model.
---
This content guides students in writing a variation model equation, emphasizing how one variable depends on others in both joint and inverse relationships.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9a4113c-7e46-4999-90ad-a989e5f085c8%2Fbe255ab8-2269-463d-b2b4-a728e14717b4%2Fru5zvkg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Text Transcription for Educational Website:**
---
**Title:** Understanding Variation Models
**Content:**
**Write a variation model using \( k \) as the constant of variation.**
The variable \( c \) varies jointly as \( d \) and \( s \) and inversely as the cube root of \( Z \).
**The variation model is \( \large \boxed{\dfrac{kd \cdot s}{\sqrt[3]{Z}}} \).**
---
**Explanation of Diagram:**
In the provided diagram, there's an empty box to input the final variation model expression. Below this input box, there is a mathematical symbols toolbar that facilitates the entry of complex mathematical operations and symbols, including:
- **Fraction ( / )**
- **Multiplication ( x )**
- **Square Root ( √ )**
- **Cube Root ( ³√ )**
- **Variables and constants (e.g., \( d \), \( Z \))
This toolbar ensures that the learners can accurately enter the mathematical expressions necessary for the variation model.
---
This content guides students in writing a variation model equation, emphasizing how one variable depends on others in both joint and inverse relationships.
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