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)
The correct graph would show a straight line with a positive slope passing through the point (0,0) and continuing indefinitely in the first quadrant.
To create a graph that represents the relationship between the number of hours and cost, we need to use a linear equation because the cost is proportional to the time used.
In this case, the equation would be:
y = 2x
Where:
y represents the cost
x represents the number of hours
To plot this equation on a graph, follow these steps:
1. Choose a scale for the x-axis and y-axis that represents the range of values you want to display. For example, if you want to show the cost for up to 5 hours, you can choose a scale of 1 for each unit on both axes.
2. Plot several points using the equation y = 2x. For example:
- x = 1, y = 2
- x = 2, y = 4
- x = 3, y = 6
- x = 4, y = 8
- x = 5, y = 10
3. Connect the points with a straight line. This line represents the relationship between the number of hours and cost.
So, the correct graph would show a straight line, starting from the origin (0,0), and increasing by 2 units on the y-axis for every 1 unit on the x-axis.
To determine the correct graph that represents the relationship between the number of hours and the cost of using the internet at the coffee shop, we need to understand that the cost is proportional to the time used. This means that as the number of hours increases, the cost also increases proportionally.
In this case, the cost is $2 per hour. This means that for each hour spent using the internet, the cost will be $2.
To represent this relationship graphically, we should use a straight line with a positive slope that goes through the origin (0,0). The slope of this line will be equal to the cost per hour, which is $2.
So, the correct graph showing this relationship between x (number of hours) and y (cost) would be a straight line with a positive slope that passes through the origin.