Question

mr. willbury buys a bag of granola for snacks. the graph shows the total weight of the bag of granola, y, as a function of the number of cups he eats, x. use the graph to describe the function. the initial value is 14. it represents the weight of the bag when it is full. the total weight of the bag decreases when mr. willbury eats the granola. that means the rate of change is negative. the total weight decreases by? oz with each cup of granola mr. willbury eats. the rate of change is?.

Explanation:

Step1: Find two points on the line

Let's take two points \((0,14)\) and \((3.5,0)\) from the graph.

Step2: Calculate the rate of change (slope)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 0,y_1=14,x_2 = 3.5,y_2 = 0\) into the formula:
\(m=\frac{0 - 14}{3.5-0}=\frac{- 14}{3.5}=-4\)

Answer:

The total weight decreases by \(4\) oz with each cup of granola Mr. Willbury eats. The rate of change is \(-4\).