A recipe says it produces the best sweet tea. In addition to using tea bags, the recipe calls for 1/2 cup of sugar for every 1 a
nd 1/2 cup of water. a. Write an equation that shows the relationship between the number of cups of sugar to the number of cups of water in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.
In this case, the ratio between sugar and water is 0.5 : 1.5 or 1 : 3.
That means that you need three cups of water for every cup of sugar.
In order to put this into an equation, the slope would be 3/1 or simply 3, and the y-intercept is 0. Even if you used the 0.5 : 1.5 ratio, the slope would be the same since 1.5 / 0.5 = 3.
