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.
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?
A. y = 1.75x
B. y = 1.5x
C. x = 1.75y
D. x = 1.5 + y
The correct equation that represents the proportional relationship in this diagram is A. y = 1.75x.
explain please
The proportional relationship between the number of cups of honey and the number of cups of cocoa powder used can be represented by the equation y = 1.75x. This equation indicates that for every cup of honey used, the baker will use 1.75 cups of cocoa powder.
To determine the equation that represents the proportional relationship between the number of cups of honey and the number of cups of cocoa powder, we can examine the diagram.
Looking at the diagram, we notice that as the number of cups of honey increases, the number of cups of cocoa powder also increases. This means that there is a direct relationship as more honey is used, more cocoa powder is required.
In a proportional relationship, the ratio between the two variables remains constant. So, to determine the equation, we need to find the constant of proportionality, which is the factor by which one variable is multiplied to get the other variable.
By analyzing the diagram and the given options, we can see that Option A, y = 1.75x, represents the proportional relationship. This equation indicates that the number of cups of cocoa powder (y) is 1.75 times the number of cups of honey (x).
Therefore, the correct answer is A. y = 1.75x.