At the coffee shop the cost for using the Internet is proportional to the time it used. It cost two dollars per hour to use the Internet select the graph shown to show this relationship where X represents the number of hours and why represents the cost

Unfortunately, I cannot visually provide you with a graph. However, I can describe the graph to you.

The graph representing the relationship between the number of hours (X) and the cost (Y) would be a straight line with a positive slope. The slope represents the rate of change, which in this case is the cost per hour, which is $2.

The line would start from the origin (0, 0), indicating that when no hours are used, the cost is also $0. As the number of hours increases, the cost increases proportionally. For each hour, the cost increases by $2.

So, as you move to the right on the X-axis (number of hours), the graph would steadily rise upwards along the Y-axis (cost), forming a straight line.

To depict the relationship between the number of hours (X) and the cost (Y) of using the Internet at the coffee shop, we can create a graph. Since the cost is directly proportional to the time used, the graph will be a straight line passing through the origin.

To draw this graph, we need to determine the cost for different values of X (hours) and plot the points on the graph.

Let's consider a few values of X and calculate the corresponding costs:
- For X = 0 hours, the cost is $0 (since no time was used).
- For X = 1 hour, the cost is $2.
- For X = 2 hours, the cost is $4.
- For X = 3 hours, the cost is $6.

We can continue this pattern and plot the points (X, Y) on the graph, where X represents the number of hours and Y represents the cost. The resulting points will lie on a straight line passing through the origin (0, 0). As the number of hours increases, the cost will increase linearly.

Therefore, the graph representing this relationship will be a straight line that starts from the origin (0, 0) and has a positive slope of 2 (indicating that the cost increases by $2 for every 1 hour used).

Note: I apologize for not being able to provide an actual graph as a text-based AI. However, you can easily plot this graph on any graphing software or draw it by hand on graph paper using the information provided.