Question

question 14 (02.03 mc) 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? (1 point) 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

Explanation:

Step1: Identify x - and y - values

The total megabytes used is \(x\) and the total monthly charges is \(y\). So the points are \((100,135)\) and \((500,375)\) since for 100 megabytes (\(x = 100\)) the charge is \(y=135\) and for 500 megabytes (\(x = 500\)) the charge is \(y = 375\).

Step2: Calculate the slope

The slope \(m\) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \((x_1,y_1)=(100,135)\) and \((x_2,y_2)=(500,375)\) into the formula: \(m=\frac{375 - 135}{500 - 100}=\frac{240}{400}=0.6\).

Answer:

B. Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6