Writing an equation that models variation w varies directly with \( u \) and inversely, with \( d \) In your equation, use \( k \) as the constant of proportionality. \( \square \) \( \square=\square \) \( \frac{\square}{\square} \)

To model the variation where \( w \) varies directly with \( u \) and inversely with \( d \), we can express this relationship mathematically. 1. **Direct Variation**: When we say \( w \) varies directly with \( u \), it means that as \( u \) increases, \( w \) also increases. This can be expressed as: \[ w = k \cdot u \] where \( k \) is the constant of proportionality. 2. **Inverse Variation**: When we say \( w \) varies inversely with \( d \), it means that as \( d \) increases, \( w \) decreases. This can be expressed as: \[ w = \frac{k}{d} \] Combining both direct and inverse variations, we can write the equation as: \[ w = k \cdot \frac{u}{d} \] Thus, the final equation that models the variation is: \[ w = k \cdot \frac{u}{d} \] In the format you requested: - \( w = k \cdot \frac{u}{d} \) - \( \square = k \cdot \frac{\square}{\square} \) Where: - The first square represents \( w \) - The second square represents \( u \) - The third square represents \( d \)