Graph Proportional Relationships Quick Check
At the coffee shop, the cost for using the terme proportional to the time Es used it costs $2 per hour to use the internet. Select the graph drawn to show this reamship where a represents the number of hours and y represents the cost (point)
Since the cost is directly proportional to the number of hours used, the graph should be a straight line passing through the origin (0,0) and have a slope of $2 per hour. The graph should look like this:
y-axis (Cost)
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x-axis (Number of Hours)
To represent the proportional relationship between the number of hours and the cost at the coffee shop, you can use a straight line that passes through the origin (0,0). This is because the cost is directly proportional to the number of hours spent using the internet.
The line should have a slope of 2 because the cost per hour is $2. This means that for every hour, the cost increases by $2. So, if we have 1 hour, the cost would be $2, if we have 2 hours, the cost would be $4, and so on.
Thus, the graph representing this relationship is a straight line starting at the origin and increasing with a slope of 2.
To graph this proportional relationship, we need to plot the points on a graph representing the number of hours (a) on the x-axis and the cost (y) on the y-axis.
Since it costs $2 per hour to use the internet, we can create the following table to find the coordinates for our graph:
a (Number of hours) | y (Cost)
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1 | 2
2 | 4
3 | 6
Now, we can plot these points on the graph. The x-coordinate represents the number of hours, and the y-coordinate represents the cost.
So, we will plot the points (1, 2), (2, 4), and (3, 6) on the graph. These points should be connected with a straight line, as the relationship is proportional.
The graph should show a line that passes through the points (1, 2), (2, 4), and (3, 6), and continues to extend in a straight line.