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. initial value: 14, weight (oz) of full bag rate of change: -4, decrease in weight (oz) for each cup eaten write an equation for the function. y = \square x + ?

Explanation:

Step1: Recall the slope - intercept form of a linear equation

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

Step2: Identify the values of \(m\) and \(b\)

Given that the rate of change (slope) \(m=-4\) and the initial value (y - intercept when \(x = 0\)) \(b = 14\).

Answer:

\(y=-4x + 14\)