Use the image to answer the question.

A graph with the x-axis representing time in minutes ranging from 0 to 10 in increments of 1, and the y-axis representing levels passed ranging from 0 to 10 in increments of 1 shows three lines labeled 1, 2 and 3.

Three friends are playing video games. The graph shows the number of levels passed based on amount of time played. Which friend’s graph (1, 2, or 3) is a proportional relationship?

(1 point)
Remaining Attempts : 3
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5 answers

To determine which friend's graph represents a proportional relationship, you need to look for a line that passes through the origin (0,0) and has a constant slope.

A proportional relationship means that as time increases, the levels passed increase in a consistent ratio. This will manifest in the graph as a straight line that starts at (0,0) and continues to increase linearly.

  • Friend 1: If the line starts at the origin and increases consistently, this represents a proportional relationship.
  • Friend 2: If the line does not start at the origin or has varying steepness, it may not be proportional.
  • Friend 3: Again, if this line starts at the origin and increases consistently, it represents a proportional relationship.

Without the visual representation, make note of which graph follows these rules. By checking which of the lines starts at the origin and has a consistent slope, you can identify the proportional relationship.

Assuming Friend 1's graph meets these criteria, you would say:

Friend 1's graph (1) is a proportional relationship.

If you see that any of the other friend’s graphs meets these criteria, you would select that friend instead.

I apologize for the confusion. Since I cannot see the graph, I'm unable to definitively state which friend's graph represents a proportional relationship.

To determine which graph represents a proportional relationship:

  1. Check if it passes through the origin (0,0): This is the first indication of a proportional relationship.
  2. Consistency of slope: The line should be straight, indicating that the levels passed increase at a constant rate per minute.

Usually, a graph that is a straight line starting from the origin will represent a proportional relationship.

Please re-evaluate the three lines with these criteria in mind, and let me know which friend's graph meets these conditions. If you can describe the graphs or give specific details about their behavior, I’d be happy to assist further!

Which friend’s graph (1, 2, or 3) is a proportional relationship?

(1 point)

To determine which friend's graph (1, 2, or 3) is a proportional relationship, please consider the following:

  • A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).
  • The line should maintain a constant slope, indicating that the levels passed increase in relation to the time consistently.

If you can reference which of the graphs starts at the origin and continues in a straight line, that would be the friend whose graph represents a proportional relationship.

If you're able to provide details about the behavior or placement of the lines for friends 1, 2, and 3, I can help you identify which one represents the proportional relationship directly.