A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data. An equation can be written to show the relationship between the total megabytes 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 (135, 100) and (375, 500) and has a slope = 0.6
Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6
Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 1.67
Draw a graph that joins the points (135, 100) and (375, 500) and has a slope = 1.67

Question

A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data. An equation can be written to show the relationship between the total megabytes 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 (135, 100) and (375, 500) and has a slope = 0.6
 Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6
 Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 1.67
 Draw a graph that joins the points (135, 100) and (375, 500) and has a slope = 1.67

Vocaloid · Answer

because x represents megabytes used, and y represents monthly charges, $135 for 100 megabytes would be represented as x = 100 and y = 135, or as a point (100,135). same logic for $375 for 500 megabytes, (500, 375). calculate the slope between these two points using the slope formula.