Question

A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9

Answer 1

Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9

Explanation:

x variable represents total megabytes of data used

y variable represents total monthly charges

The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.

The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.

With these two points, the slope is computed as follows:

(245 - 155)/(200 - 100) = 0.9