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.(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: A graph with the x-axis ranging from 0 to 4 in increments of 1 and the y-axis ranging from 0 to 4 in increments of 1 shows a line ending with an arrow. The line passes through 3 plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 1 comma 2 right parenthesis; and left parenthesis 2 comma 4 right parenthesis.%0D%0A%0D%0A%0D%0AImage with alt text: A graph with the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to negative 3 in unit decrements shows a line ending with an arrow. The line begins at the origin and passes through three plotted points. The plotted points include left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma negative 1 right parenthesis; and left parenthesis 4 comma negative 2 right parenthesis.%0D%0A%0D%0A%0D%0AImage with alt text: A graph with the x-axis ranging from 0 to 4 in increments of 1 and the y-axis ranging from 0 to negative 4 in unit decrements shows a line ending with an arrow. The line begins at the origin and passes through three plotted points. The plotted points include left parenthesis 0 comma 0 right parenthesis; left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.
The graph that shows the relationship between the number of hours and the cost of using the internet at the coffee shop is the second one described:
Image with alt text: A graph with the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to negative 3 in unit decrements shows a line ending with an arrow. The line begins at the origin and passes through three plotted points. The plotted points include (0, 0); (2, -1); and (4, -2).
The correct graph that represents the relationship between the number of hours (x) and the cost (y) is the first option.
The correct graph to show the relationship between the time used and the cost at the coffee shop, where x represents the number of hours and y represents the cost, is the graph described as "A graph with the x-axis ranging from 0 to 4 in increments of 1 and the y-axis ranging from 0 to 4 in increments of 1 shows a line ending with an arrow. The line passes through 3 plotted points: (0,0); (1,2); and (2,4)."
To explain how to determine the correct graph, we need to understand the relationship between the time used and the cost. In this scenario, the cost for using the internet is proportional to the time it's used, and it costs $2 per hour. This means that for every hour of internet usage, the cost increases by $2.
To represent this relationship graphically, we plot the number of hours (x) on the x-axis and the cost (y) on the y-axis. As the number of hours increases, the cost will also increase. Since it costs $2 per hour, the line representing this relationship will have a constant slope of 2.
The graph that correctly represents this relationship is the one described, where the line passes through points (0,0), (1,2), and (2,4). The x-values represent the number of hours, while the y-values represent the corresponding cost. The line starts at the origin (0,0) and continues with a slope of 2, showing that the cost increases by $2 for every hour of usage.
Therefore, the correct graph is the one with the line passing through the points (0,0), (1,2), and (2,4).