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, z. Distinguish whether this is a proportional or nonproportional situation. (1 point)

Question

y = 3x + 2 nonproportional

y = 2/3 * x proportional

y = 2x + 3 nonproportional

y = 3/2 * x proportional

Answer 1

To establish the relationship between the number of eggs (y) and the amount of flour (z), we note that for every three cups of flour, you need two eggs. This relationship can be expressed in an equation format:

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

In this equation:

• \(y\) represents the number of eggs,
• \(z\) represents the amount of flour in cups,
• The coefficient \(\frac{2}{3}\) indicates that for every 3 cups of flour, there are 2 eggs.

This relationship is proportional because if you were to double the amount of flour, you would also double the number of eggs needed. Therefore, the number of eggs increases in direct proportion to the amount of flour.

Based on the options you provided and the analysis above, the correct representation of the relationship is:

y = 2/3 * z proportional.