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.