Question

zaid buys a loaf of bread and some broccoli. the graph shows the total cost of the purchase, y, as a function of the number of pounds of broccoli, x. the initial value is 4. it represents the cost of the loaf of bread. describe the rate of change of the function. the rate of change is. it represents the cost of?

Explanation:

Step1: Recall rate - of - change formula

The rate of change of a linear function (slope) is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can take two points on the line, say $(0,4)$ and $(4,12)$.

Step2: Calculate the rate of change

$m=\frac{12 - 4}{4-0}=\frac{8}{4}=2$. The rate of change represents the cost per pound of broccoli since $y$ is the total cost and $x$ is the number of pounds of broccoli.

Answer:

The rate of change is $2$. It represents the cost of one - pound of broccoli.