To find the equation that describes the relationship between the number of eggs (y) and the amount of flour (x), we know that for every 3 cups of flour, you need 2 eggs. This can be expressed as:
\[ \frac{y}{2} = \frac{x}{3} \]
Cross-multiplying gives:
\[ 3y = 2x \]
We can then solve for y:
\[ y = \frac{2}{3}x \]
This equation shows that for every 3 cups of flour, you get 2 eggs, and it shows a constant ratio (for every increase in flour, the number of eggs increases in a fixed proportion).
Since the equation can be written in the form \(y = kx\) (where \(k\) is a constant), it indicates a proportional relationship.
Thus, the correct response is:
y = \(\frac{2}{3}x\), proportional.