To establish the relationship between the number of eggs (let's denote it as \( y \)) and the amount of flour (denote it as \( x \)), we know that for every 3 cups of flour, 2 eggs are needed. This gives us the following ratio:
\[ \frac{y}{x} = \frac{2}{3} \]
To write this as an equation, we can express \( y \) in terms of \( x \):
\[ y = \frac{2}{3}x \]
This is a linear equation and represents a proportional relationship because the ratio \( \frac{y}{x} \) is constant (equal to \( \frac{2}{3} \)).
Thus, the correct equation and classification is:
Equation: \( y = \frac{2}{3}x \)
Classification: Proportional
Among the options you provided, the appropriate modification would be:
- The equation that fits this relationship is "y = (2/3)x", which indicates it is proportional.
None of the listed options exactly spell this out.
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