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)

Answer 1

To represent the relationship where the cost (y) is proportional to the time (x) spent using the internet at a rate of $2 per hour, the relationship can be expressed as:

\[ y = 2x \]

In this equation:

• \( x \) is the number of hours,
• \( y \) is the total cost in dollars.

The graph of this equation will be a straight line that passes through the origin (0,0) and has a slope of 2. This means for every hour (1 unit increase in x), the cost increases by $2 (2 unit increase in y).

When visualizing the graph:

• It starts at the origin (0, 0).
• As you move one unit to the right (1 hour), you move two units up (to $2).
• As you move two units to the right (2 hours), you move four units up (to $4), and so on.

If you are looking at multiple graph options:

• The correct graph would be a straight line starting at the origin, sloping upwards at a rate that represents the function \( y = 2x \).

If you're choosing the graph from a set of options, look for a line that meets these criteria.