Question

the graph shows the weight of a pitcher, y, as a function of the number of cups of water in the pitcher, x. the initial value is 12. it represents the weight in ounces of the empty pitcher. the rate of change is 8. it represents the weight in ounces of each cup of water. write an equation to represent the weight of the pitcher, y. y = x + ?

Explanation:

Step1: Recall slope - intercept form

The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (initial value).

Step2: Identify values of $m$ and $b$

Given rate of change $m = 8$ and initial value $b=12$.

Answer:

$y = 8x + 12$