Question

alaina wants to decide whether her current cell phone plan is better than a package that another company offers. to compare the two plans, she plotted two lines on a graph, where y represented the total cost of one months service and x represented the megabytes of data that she used in a month. which part of the graph will represent the cost per megabyte of data used in each plan?
the coordinates of a point of intersection.
the x - intercepts of the two lines.
the y - intercepts of the two lines.
the slopes of the two lines.

Explanation:

Step1: Understand the problem

We need to find out which part of the graph (related to two linear functions representing phone - plan costs) shows the cost per megabyte of data.

Step2: Recall the formula for a linear function

The equation of a line is \(y = mx + b\), where \(y\) is the total cost, \(x\) is the number of megabytes, \(m\) is the slope (rate of change), and \(b\) is the \(y\) - intercept (initial cost).
The slope \(m=\frac{\Delta y}{\Delta x}\). In the context of cost per megabyte, if \(y\) is cost and \(x\) is megabytes, the slope \(m\) represents the cost per megabyte.

Answer:

The slopes of the two lines.