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)
Responses
1,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.
Image 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.
2. 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.
Image 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.
3. A graph with the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to 3 in increments of 1 shows a line ending with an arrow. The line passes through the plotted points left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 1 right parenthesis; left parenthesis 4 comma 2 right parenthesis; and left parenthesis 6 comma 3 right parenthesis.
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 3 in increments of 1 shows a line ending with an arrow. The line passes through the plotted points left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 1 right parenthesis; left parenthesis 4 comma 2 right parenthesis; and left parenthesis 6 comma 3 right parenthesis.
The correct answer is option 3. A graph with the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to 3 in increments of 1 shows a line ending with an arrow. The line passes through the plotted points (0, 0); (2, 1); (4, 2); and (6, 3).
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The correct graph to represent the relationship between the cost of using the internet and the time it's used at the coffee shop is option 2.
To understand why, let's break down the given information.
The cost for using the internet is proportional to the time it's used. This means that as the time increases, the cost also increases proportionally. In this case, it costs $2 per hour to use the internet.
In the graph provided in option 2, the x-axis ranges from 0 to 4 in increments of 1, representing the number of hours. The y-axis ranges from 0 to 4 in increments of 1, representing the cost in dollars.
The line on the graph starts from the origin (0, 0) and passes through three plotted points: (0, 0), (1, 2), and (2, 4). These points represent the relationship between the number of hours and the cost. For example, when 0 hours of internet is used (0, 0), the cost is $0. When 1 hour of internet is used (1, 2), the cost is $2. When 2 hours of internet is used (2, 4), the cost is $4.
This line on the graph represents the proportional relationship between time and cost, with a slope of 2. As the number of hours increases, the cost increases proportionally by $2 per hour.
Therefore, option 2 is the correct graph that accurately represents the proportional relationship between the cost of using the internet and the time it's used at the coffee shop.