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 blank. it represents the weight of dropdown.

Explanation:

Step1: Recall the concept of initial value

The initial value of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Find the value of \(y\) when \(x = 0\)

Looking at the graph, when \(x=0\) (the number of cups eaten is \(0\)), the value of \(y\) (total weight of the bag) is \(14\). In the context of the problem, when \(x = 0\) (no cups of granola have been eaten), the weight of the bag of granola is measured.

Answer:

The initial value is \(14\). It represents the weight of the bag of granola before any cups are eaten.