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
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.
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.
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 left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma negative 1 right parenthesis; and left parenthesis 4 comma negative 2 right parenthesis.
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.
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.
The correct answer is the graph described in option A:
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).
The correct graph to show the relationship between the number of hours and the cost of using the internet at the coffee shop is:
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).
To answer this question, we need to understand the relationship between the number of hours and the cost of using the internet at the coffee shop. The cost is stated to be proportional to the time used, meaning that as the number of hours increases, the cost also increases proportionally.
The given options include four different graphs representing this relationship. We can evaluate each option to determine which graph correctly represents the relationship described.
Option A: This graph has 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. The line passes through the plotted points (0,0), (2,1), (4,2), and (6,3). The line starts at the origin and increases proportionally with the number of hours. This graph represents a proportional relationship between the number of hours and the cost, so it is a possible representation of the given scenario.
Option B: This graph has the x-axis ranging from 0 to 6 in increments of 2 and the y-axis ranging from 0 to -3 in unit decrements. The line begins at the origin and passes through the plotted points (0,0), (2,-1), and (4,-2). The line decreases proportionally with the number of hours. This graph does not represent a proportional relationship as the cost decreases with the increase in time. Therefore, this option is not correct.
Option C: This graph has 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. The line passes through the plotted points (0,0), (1,2), and (2,4). The line increases rapidly with the number of hours, which does not represent a proportional relationship. This option is also not correct.
Option D: This graph has the x-axis ranging from 0 to 4 in increments of 1 and the y-axis ranging from 0 to -4 in unit decrements. The line begins at the origin and passes through the plotted points (0,0), (1,-2), and (2,-4). The line decreases rapidly with the number of hours, which does not represent a proportional relationship. Therefore, this option is also not correct.
Based on the evaluation of the options, Option A is the graph that correctly represents the relationship between the number of hours and the cost of using the internet at the coffee shop.