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

Question

, and the amount of flour, x
. Distinguish whether this is a proportional or nonproportional situation.(1 point)
Responses

y=2x+3, nonproportional

y=3x+2, nonproportional

y=3/2x, proportional

y=2/3x, proportional

Answer 1

To determine the relationship between the number of eggs \( y \) and the amount of flour \( x \), we start with the information given: for every 3 cups of flour, you need to add 2 eggs.

This can be modeled with the equation:

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

Here, \( \frac{2}{3} \) represents the constant of proportionality, meaning for every 3 cups of flour, there are 2 eggs.

This situation is proportional because as flour increases, the number of eggs increases at a constant rate.

So, the correct response is:

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