Question

santiago buys a container of milk to make atole. the cups of milk left in the container, y, is a linear function of the number of batches he makes, x. the graph of the function passes through the points (1,12) and (3,4). find and describe the rate of change of the function. the rate of change is. it represents in the amount of milk in the container for each batch of atole made.

Explanation:

Step1: Recall slope - formula

The formula for the slope (rate of change) of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $x_1 = 1,y_1=12,x_2 = 3,y_2 = 4$.

Step3: Calculate the slope

$m=\frac{4 - 12}{3 - 1}=\frac{-8}{2}=-4$.

Answer:

The rate of change is $- 4$. It represents the decrease in the amount of milk in the container for each batch of atole made.