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 this relationship would be a straight line that starts at the origin (0,0) and has a slope of 2. This means that for every 1 hour of internet usage (1 unit increase in x), the cost increases by $2 (1 unit increase in y). So, the graph would start at (0,0) and go through points (1,2), (2,4), (3,6), and so on.
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.
To find another point on the graph, we need to determine the constant of proportionality. In this case, since the amount of water is directly proportional to the number of cups of rice, we can set up the equation:
W = k * C
Where W represents the amount of water, C represents the number of cups of rice, and k represents the constant of proportionality.
Using the given point (12, 1) on the graph, we can substitute the values:
1 = k * 12
Solving for k:
k = 1/12
Now we can find another point on the graph by choosing any value for C and then determining the corresponding value for W.
Let's choose C = 6:
W = (1/12) * 6
W = 1/2
So, another point on the graph is (6, 1/2).
Four friends ran a 5K to raise money for their school. The graph shows their rates as a
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To show the relationship between the number of hours and the cost, we can use a linear equation in the form y = mx + b, where m represents the cost per hour and b represents the initial cost.
In this case, the cost per hour is $2, so the equation becomes y = 2x + b.
Since we have no information about the initial cost, we can assume it to be 0. Therefore, the equation becomes y = 2x.
Now, let's plot the graph by choosing some values for x and y:
For x = 0, y = 2(0) = 0
For x = 1, y = 2(1) = 2
For x = 2, y = 2(2) = 4
Plotting these points, we have (0,0), (1,2), and (2,4).
The graph representing this relationship will be a straight line passing through these points.
Hence, the correct graph would be Graph 1 which is a straight line increasing at a constant rate.
To graph the relationship between the number of hours and the cost to use the internet, we need to plot points where the x-coordinate represents the number of hours and the y-coordinate represents the cost.
In this scenario, it is stated that the cost is proportional to the time used, and it costs $2 per hour to use the internet. This means that for every hour of internet usage, the cost is $2.
To create the graph, we can start by selecting a few values for the number of hours and calculating the corresponding cost.
Let's choose three values for x (number of hours) and calculate the corresponding y (cost):
- For x = 1 hour, y = $2 * 1 = $2
- For x = 2 hours, y = $2 * 2 = $4
- For x = 3 hours, y = $2 * 3 = $6
Now, we can plot these points on a graph. On the x-axis, we label the numbers 1, 2, 3 to represent the number of hours. On the y-axis, we label the numbers $2, $4, $6 to represent the cost.
The graph will be a straight line that passes through the points (1, $2), (2, $4), and (3, $6), with the x-axis representing the number of hours and the y-axis representing the cost.
Therefore, the correct graph to show this relationship is a straight line that starts from the origin (0, 0) and passes through the points (1, $2), (2, $4), and (3, $6).