Transcript text: Writing an equation that models variation
Write an equation that expresses the following relationship.
$w$ varies jointly with $u$ and $d$ and inversely with $p$
In your equation, use $k$ as the constant of proportionality.
Solution
Solution Steps
Step 1: Understand the relationship
The problem states that \( w \) varies jointly with \( u \) and \( d \), and inversely with \( p \). This means:
\( w \) is directly proportional to \( u \) and \( d \).
\( w \) is inversely proportional to \( p \).
Step 2: Write the equation
Using the constant of proportionality \( k \), the relationship can be expressed as:
\[
w = k \cdot \frac{u \cdot d}{p}
\]