You are baking a cake. For every three cups of flour, you need to add two eggs. Write an equation for the relationship between the number of eggs, y , and the amount of flour, x . Distinguish whether this is a proportional or nonproportional situation.(1 point) Responses y=32x , proportional y equals Start Fraction 3 over 2 End Fraction x , proportional y=3x+2 , nonproportional y equals 3 x plus 2 , nonproportional y=2x+3 , nonproportional y equals 2 x plus 3 , nonproportional y=23x , proportional

Answer 1

To determine the relationship between the number of eggs \( y \) and the amount of flour \( x \), we know that for every 3 cups of flour, we need to add 2 eggs. This can be expressed as:

\[ \frac{y}{x} = \frac{2}{3} \]

This means that the number of eggs \( y \) is proportional to the amount of flour \( x \). We can express the equation as:

\[ y = \frac{2}{3}x \]

So the equation that describes this relationship is:

\[ y = \frac{2}{3}x \]

This is a proportional relationship because as \( x \) (the amount of flour) changes, \( y \) (the number of eggs) changes in a consistent ratio (2 eggs for every 3 cups of flour).

Thus, the correct response is:

\( y = \frac{2}{3}x \), proportional.