At the coffee shop, the cost for using the internet is proportional to the time it’s used. It costs $2 per hour to use the internet. Select the graph drawn to show this relationship, where x represents the number of hours and y represents the cost.
The correct graph to show the relationship between the number of hours (x) and the cost (y) for using the internet at the coffee shop, where the cost is $2 per hour, is a straight line graph with a positive slope.
Here is the correct graph:
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In this graph, as the number of hours (x) increases, the cost (y) increases linearly at a rate of $2 per hour.
The graph that represents this relationship is a straight line passing through the origin (0,0) with a slope of 2. The x-axis represents the number of hours (x) and the y-axis represents the cost (y). The line will go upward from left to right, indicating that as the number of hours increases, the cost also increases.
To represent the relationship between the number of hours and the cost of using the internet, you can use a linear graph. In a linear graph, the relationship between two variables is represented by a straight line.
In this case, the cost of using the internet is proportional to the number of hours. Since it costs $2 per hour, we can write the equation as: y = 2x, where y represents the cost and x represents the number of hours.
To graph this equation, you can plot a few points to determine the coordinates and then connect them with a straight line. For example, if you use the internet for 1 hour, the cost would be $2. So, you can plot the point (1, 2). Similarly, if you use the internet for 2 hours, the cost would be $4. So, plot the point (2, 4). Continue this process to plot a few more points.
Once you have plotted the points, connect them with a straight line. This line represents the relationship between the number of hours and the cost of using the internet. The slope of the line is 2, which indicates that for every increase in 1 hour, the cost increases by $2.
The resulting graph will be a diagonal straight line that starts from the origin (0,0) and continues upward at a 45-degree angle. This line represents the proportional relationship between the number of hours and the cost.