1. **State the problem:** We have 50 scoops of popcorn initially. Vivian fills bags with popcorn, and the number of scoops remaining decreases as more bags are filled. The graph shows a linear decrease from 50 scoops at 0 bags to 0 scoops at 20 bags. 2. **Identify the slope:** The slope of a line in this context represents the rate at which scoops are used per bag filled. The formula for slope is: $$m = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Calculate the slope:** Using the points (0, 50) and (20, 0): $$m = \frac{0 - 50}{20 - 0} = \frac{-50}{20} = -\frac{50}{20}$$ 4. **Simplify the slope:** $$m = -\frac{\cancel{50}}{\cancel{20}} = -\frac{5}{2} = -2.5$$ 5. **Interpret the slope:** The slope is $-2.5$, which means for each bag filled, 2.5 scoops of popcorn are used up. The negative sign indicates the scoops remaining decrease as bags are filled. 6. **Relate to the problem:** Vivian fills each bag with either 2 or 5 scoops, but the graph shows a rate of 2.5 scoops per bag, which could be an average or a different scenario. **Final answer:** The slope of the line tells us that for every bag filled, 2.5 scoops of popcorn are removed from the container.