Question

A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the proportional relationship?

A- y=4x
B- y=4x+1/4
C-y=1/4x+4
D-y=1/4x

Answer 1

The correct linear equation that describes the proportional relationship of 1 cup of milk for every 4 cups of flour in the recipe is D - y = 1/4x.

Step-by-step explanation:

The student asked which linear equation describes the proportional relationship given that a recipe requires 1 cup of milk for every 4 cups of flour. We can formulate a linear equation based on this relationship by letting y represent the amount of milk and x represent the amount of flour. Since the relationship is directly proportional and for every 4 cups of flour we need 1 cup of milk, the equation is y = 1/4x. Therefore, the correct answer is D-y=1/4x.

Here's a step-by-step reasoning: If you double the amount of flour to 8 cups, you will then need 2 cups of milk. This is because 2 = 1/4(8), which shows that the relationship is indeed proportional and follows the equation y = 1/4x.