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. \( \square \) \( \square=\square \) \( \frac{\square}{\square} \)
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To express the relationship where \( w \) varies directly with \( u \) and inversely with \( d \), you can write the equation as \( w = k \frac{u}{d} \). Here, \( k \) is the constant that links these variables together, reflecting the proportionality factors at play in this variation. When working with direct and inverse variations, one common mistake is forgetting to correctly place the variables in the formula. For direct variation, the variable should multiply, while for inverse variation, it should be in the denominator. Keep this in mind to avoid mixing the two types of relationships!