Question

the graph shows the relationship between the volume of coffee in a cup and the length of time cassie pours coffee into the cup. what does 50 mean in this situation? choose 1 answer: cassie pours coffee at a rate of 50 milliliters per second. the cup holds up to 50 milliliters of coffee. cassie can pour 50 cups of coffee in a second.

Explanation:

Step1: Analyze the coordinate point

The point \((1,50)\) on the graph. In a relationship between two variables (here volume \(y\) - milliliters and time \(x\) - seconds), the slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For the point \((x = 1,y=50)\) and the origin \((x = 0,y = 0)\), the rate (slope) is calculated as \(m=\frac{50-0}{1 - 0}\).

Step2: Interpret the slope

The slope \(m = 50\) represents the change in \(y\) (volume of coffee in milliliters) per unit change in \(x\) (time in seconds).

Answer:

A. Cassie pours coffee at a rate of 50 milliliters per second.