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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

Answer :

luisejr77

Answer:

Second option: Draw a graph that joins the points [tex](100, 135)[/tex] and [tex](500, 375)[/tex] and has a [tex]slope=0.6[/tex]

Step-by-step explanation:

We know that  the company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data.

This gives us two points:

[tex](100,135)\\\\(500,375)[/tex]

Then, we can find the slope of the line with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case we can identify that:

[tex]y_2=135\\y_1=375\\\\x_2=100\\x_1=500[/tex]

Substituting these values into the formula, we get that the slope is:

[tex]m=\frac{135-375}{100-500}=0.6[/tex]

Therefore the best description for the steps to draw the graph is:

Draw a graph that joins the points [tex](100, 135)[/tex] and [tex](500, 375)[/tex] and has a slope of 0.6

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