Question

the graph shows the weight of a pitcher, y, as a function of the number of cups of water in the pitcher, x. describe the initial value of the function. the initial value is 12. it represents the weight in ounces of the empty pitcher. describe the rate of change of the function. the rate of change is

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) of a linear function is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take two points from the graph: $(0,12)$ and $(1,18)$.

Step3: Calculate rate of change

$m=\frac{18 - 12}{1 - 0}=\frac{6}{1}=6$.

Answer:

6