The equation representing the relationship is y=1.25x, where y is the cups of sugar and x is the cups of flour.
In a proportional relationship between the cups of sugar (y) and the cups of flour (x) in a cookie recipe, the constant of proportionality is given by the ratio of cups of sugar to cups of flour.
In this case, the recipe specifies 1.25 cups of sugar for each cup of flour. Therefore, the constant of proportionality (k) is 1.25.
The equation that represents this proportional relationship can be expressed as:
y=kx
Substituting the given constant of proportionality, the equation becomes:
y=1.25x
This equation signifies that for each cup of flour used in the cookie recipe, 1.25 cups of sugar are required.
It captures the direct relationship between the two quantities, reflecting the proportional nature of the recipe.
As the number of cups of flour increases or decreases, the number of cups of sugar will adjust accordingly, maintaining the consistent ratio specified in the recipe.
This equation serves as a fundamental tool for determining the appropriate amount of sugar needed for any given quantity of flour in the cookie-making process.
Question
The number of cups of sugar (y) in a cookie recipe is proportional to the number of cups of flour (x). The recipe calls for 1.25 cups of sugar for each cup of flour. Which equation could represent the cups of sugar required for a batch of cookies?