At the coffee shop the cost for using the Internet is proportional to the time it used it cost two dollars per hour to use the Internet. Select the graph draw to show the relationship or X represents the member of our and why represents the cost.

1 answer

To create a graph that represents the relationship between the time spent using the Internet (in hours) and the cost (in dollars), you can follow these steps:

  1. Identify the axes:

    • The x-axis will represent the number of hours (X).
    • The y-axis will represent the cost in dollars (Y).
  2. Determine the relationship:

    • Since the cost is proportional to the time, you can express the relationship as \( Y = 2X \), where:
      • \( Y \) is the cost in dollars,
      • \( X \) is the number of hours,
      • The constant of proportionality is 2 dollars/hour.
  3. Plot points:

    • For example:
      • If \( X = 1 \), \( Y = 2 \) (Cost is $2 for 1 hour).
      • If \( X = 2 \), \( Y = 4 \) (Cost is $4 for 2 hours).
      • If \( X = 3 \), \( Y = 6 \) (Cost is $6 for 3 hours).
      • Continue this for as many hours as you want.
  4. Draw the graph:

    • Plot the points on a coordinate plane:
      • (1, 2)
      • (2, 4)
      • (3, 6)
      • (4, 8), and so on.
    • Draw a straight line through these points, starting from the origin (0,0) because if no time is used, there is no cost.
  5. Label the graph:

    • Label the x-axis as "Hours" and the y-axis as "Cost in Dollars".
    • You can also add a title to the graph, such as "Cost of Internet Usage at a Coffee Shop".

The resulting graph will be a straight line that passes through the origin and has a slope of 2, indicating that the cost increases by $2 for each additional hour of Internet use.