Question

the initial value is 4. it represents the cost of the loaf of bread. the rate of change is 2. it represents the cost of each pound of broccoli. write an equation to represent the total cost, y. y =? x + \square total cost = cost of broccoli + cost of bread

Explanation:

Step1: Recall slope-intercept form

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

Step2: Identify \(m\) and \(b\)

From the problem, the rate of change (slope \(m\)) is 2 (cost per pound of broccoli) and the initial value (y - intercept \(b\)) is 4 (cost of the loaf of bread).

Step3: Substitute \(m\) and \(b\) into the equation

Substitute \(m = 2\) and \(b = 4\) into \(y=mx + b\). We get \(y=2x + 4\).

Answer:

\(y = 2x+4\) (So the first box is 2 and the second box is 4)