at the coffee shop the cost for using the internet is proportional to the time its 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 \( y \) of using the internet is proportional to the number of hours \( x \), the graph will be a straight line that starts at the origin (0,0) and has a slope corresponding to the cost per hour, which is $2.

The equation of the line can be expressed as:

\[ y = 2x \]

In this equation:

• When \( x = 0 \) (0 hours), \( y = 0 \) (cost is $0).
• When \( x = 1 \) (1 hour), \( y = 2 \) (cost is $2).
• When \( x = 2 \) (2 hours), \( y = 4 \) (cost is $4), and so on.

Visually, the line will rise steeply, indicating that as the number of hours increases, the cost increases linearly.

When you look for the graph that represents this relationship, you should find a straight line that passes through the origin and has a positive slope of 2.