Question

cups of popcorn
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.

Explanation:

Step1: Identify line points

From the graph, the line passes through $(0,0)$ and $(2,1)$.

Step2: Calculate slope

Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{slope} = \frac{1 - 0}{2 - 0} = \frac{1}{2}$

Step3: Interpret slope

Slope = $\frac{\text{tablespoons of sugar}}{\text{cups of popcorn}}$, so $\frac{1}{2}$ means 1 tablespoon of sugar per 2 cups of popcorn, which matches the first option.

Answer:

Sandra needs 1 tablespoon of sugar for every cup of popcorn.