sandra is making popcorn balls for movie night with her friends. the amount of sugar sandra needs depends on…

sandra is making popcorn balls for movie night with her friends. the amount of sugar sandra needs depends on the amount of popcorn she uses. this situation can be modeled as a linear relationship. what does the slope of the line tell you about the situation? sandra needs 1 tablespoon of sugar for every cup of popcorn. sandra needs 1 tablespoon of sugar for every 3 cups of popcorn. sandra needs 2 tablespoons of sugar for every 3 cups of popcorn. sandra needs 3 tablespoons of sugar for every 2 cups of popcorn.

sandra is making popcorn balls for movie night with her friends. the amount of sugar sandra needs depends on the amount of popcorn she uses. this situation can be modeled as a linear relationship. what does the slope of the line tell you about the situation? sandra needs 1 tablespoon of sugar for every cup of popcorn. sandra needs 1 tablespoon of sugar for every 3 cups of popcorn. sandra needs 2 tablespoons of sugar for every 3 cups of popcorn. sandra needs 3 tablespoons of sugar for every 2 cups of popcorn.

Answer

Explanation:

Step1: Recall slope - definition

The slope of a line in a real - world context represents the rate of change. In this case, the slope of the line representing the relationship between cups of popcorn and tablespoons of sugar shows how much sugar is needed per cup of popcorn.

Step2: Analyze the relationship

If we assume two points on the line ((x_1,y_1)) and ((x_2,y_2)), the slope (m=\frac{y_2 - y_1}{x_2 - x_1}). From the description, we can see that as the number of cups of popcorn increases, the amount of sugar increases proportionally. If we consider the general form of a linear relationship (y = mx + b) (here (b = 0) since the line passes through the origin), and assume some sample points. Let's say when (x = 2) cups of popcorn, (y = 3) tablespoons of sugar. The slope (m=\frac{3}{2}), which means Sandra needs 3 tablespoons of sugar for every 2 cups of popcorn.

Answer:

Sandra needs 3 tablespoons of sugar for every 2 cups of popcorn.