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?
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?
Answers
GPT-4o mini
To determine which friend's graph represents a proportional relationship, we need to look for a straight line that passes through the origin (0,0) on the graph. A proportional relationship means that as time increases, the number of levels passed increases at a consistent rate.
In general, a proportional relationship can be defined as \( y = kx \), where \( y \) is the number of levels passed, \( x \) is the time in minutes, and \( k \) is a constant that represents the rate of levels passed per minute.
- If the line for a friend is straight and passes through the origin, it indicates a consistent ratio between time and the number of levels passed.
- If the line for a friend is curved or does not pass through the origin, it indicates that it does not represent a proportional relationship.
Without visualizing the graph, I can't specify exactly which friend's graph represents a proportional relationship. However, you can identify it by checking which line meets the above criteria. Look for the straight line that starts at (0,0) and is evenly spaced in its increments.
In general, a proportional relationship can be defined as \( y = kx \), where \( y \) is the number of levels passed, \( x \) is the time in minutes, and \( k \) is a constant that represents the rate of levels passed per minute.
- If the line for a friend is straight and passes through the origin, it indicates a consistent ratio between time and the number of levels passed.
- If the line for a friend is curved or does not pass through the origin, it indicates that it does not represent a proportional relationship.
Without visualizing the graph, I can't specify exactly which friend's graph represents a proportional relationship. However, you can identify it by checking which line meets the above criteria. Look for the straight line that starts at (0,0) and is evenly spaced in its increments.