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 x - intercepts of the two lines the y - intercepts of the two lines. the slopes of the two lines. the coordinates of a point of intersection.

Explanation:

Step1: Recall slope - cost relationship

The slope of a line in a cost - quantity graph represents the rate of change of cost with respect to quantity.

Step2: Identify cost per unit

In the context of the cell - phone plan, where \(y\) is total cost and \(x\) is data used, the slope is \(\frac{\Delta y}{\Delta x}\), which is the cost per megabyte of data. So the slopes of the two lines represent the cost per megabyte of data in each plan.

Answer:

C. The slopes of the two lines.