Question

While surfing the Internet, you find a site that claims to offer ""the most popular and the cheapest DVDs anywhere."" Unfortunately, the website isn't clear about the how much they charge for each DVD, but it does give you the following information:

Number of DVDs Ordered 1 2 3
Total Cost $15 $24 $33
Plot the points and connect them to form a line.

Answer 1

To plot the given data on a graph, we first draw the axes, label them, plot the points for each DVD number and cost, and then connect these points with a straight line, which shows a linear relationship between the number of DVDs ordered and the total cost.

Step-by-step explanation:

The student's question involves plotting points from given data and forming a line, which is a common task in algebra and graphing. First, the given points are derived from the number of DVDs ordered and the corresponding total cost. To plot these points on a graph, we use the number of DVDs as the x-coordinate (the horizontal axis) and the total cost as the y-coordinate (the vertical axis). The points given are (1, $15), (2, $24), and (3, $33).

Here is how you plot the points and form a line:

1. Draw a two-dimensional graph with a horizontal axis (x-axis) and a vertical axis (y-axis).
2. Label the x-axis as 'Number of DVDs Ordered' and the y-axis as 'Total Cost'.
3. Mark the points (1, 15), (2, 24), and (3, 33) on the graph. Each point corresponds to the number of DVDs and the total cost.
4. Using a ruler or a straight edge, connect these points with a line, making sure to extend the line through the plotted points.

By connecting the points, you will notice that they lie in a straight line, indicating a linear relationship between the number of DVDs ordered and the total cost. The slope of this line represents the additional cost for each additional DVD purchased.