Math Problem Statement
Write an equation that expresses the following relationship. "d" varies jointly with "w" and "p" and inversely with "u" In your equation, use "k" as the constant of proportionality.
Solution
The equation that expresses the relationship "d varies jointly with w and p and inversely with u" is:
Here:
- is the constant of proportionality,
- varies directly with and ,
- varies inversely with .
Would you like more details or have any questions?
Here are some related questions:
- How does the value of change if is doubled?
- What happens to if both and are halved?
- How can you solve for if , , , and are known?
- What is the effect on if only increases while and remain constant?
- How would the equation change if varied directly with the square of instead?
Tip: Remember, when dealing with joint variation, multiple factors directly influence the dependent variable, while inverse variation reduces the influence of other factors.
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Math Problem Analysis
Mathematical Concepts
Variation
Proportionality
Formulas
Joint variation formula
Inverse variation formula
Theorems
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Suitable Grade Level
Grades 10-12