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 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 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.
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 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.
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The correct graph is the one 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. The line passes through three plotted points, which include (0,0), (1,-2), and (2,-4).
The correct graph to show the relationship between the number of hours and the cost of using the internet is the one 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 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 graph to show the relationship between time used and cost is the first option: 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.
To understand why, let's break down the given information. We are told that the cost for using the internet is proportional to the time it's used, and specifically, it costs $2 per hour.
From this information, we can conclude that if we use 0 hours, the cost would be $0, since 0 multiplied by any number is always zero. This gives us the point (0, 0) on the graph.
If we use 2 hours, the cost would be 2 times $2, which equals $4. This gives us the point (2, -1) on the graph.
If we use 4 hours, the cost would be 4 times $2, which equals $8. This gives us the point (4, -2) on the graph.
By connecting these points, we can see that the line passes through these three plotted points and continues in the same direction. This indicates a proportional relationship between time used and cost, where the cost decreases as the time used increases. Therefore, the correct graph is the one described in the first option.
Question
The amount of water is directly proportional to the number of cups of rice. The coordinate (12, 1) is on the graph of this proportional relationship. Identify another point on the graph.(1 point)
Responses
(14, 2)
Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis
(23, 4)
Left Parenthesis Start Fraction 2 over 3 End Fraction comma 4 Right Parenthesis
(32, 3)
Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis
(2, 6)
Left Parenthesis 2 comma 6 Right Parenthesis