A baker makes icing for his cakes using cocoa powder and honey. The diagram below shows the relationship between the number of cups of honey and the number of cups of cocoa powder used.

Question

In the equations below, y represents cups of cocoa powder, and x represents cups of honey. Which equation represents the proportional relationship in this diagram?

Answer 1

To identify the equation that represents the proportional relationship between the cups of honey (x) and the cups of cocoa powder (y), we need to consider the characteristics of proportional relationships. A proportional relationship can be expressed in the form:

\[ y = kx \]

where \( k \) is the constant of proportionality.

Without the diagram you referenced, I can provide a general approach:

1. Identify the points: If you have specific points from the diagram that represent the relationship between x (honey) and y (cocoa powder), you can use these points to determine the constant of proportionality \( k \).

2. Calculate \( k \): If, for example, one of the points is \( (x_1, y_1) \), you can find \( k \) using the formula: \[ k = \frac{y_1}{x_1} \]

3. Formulating the equation: Substitute the value of \( k \) back into the equation \( y = kx \) to get the specific equation of the proportional relationship.

If you can provide the specific values from the diagram, I can help you find the exact equation that represents the proportional relationship.