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?
In order to determine which friend's graph represents a proportional relationship, we need to identify the graph that exhibits a constant rate of change. A proportional relationship is characterized by a constant ratio between the two quantities being compared.
Looking at the graph, let's analyze the rate of change for each friend's data:
- Friend 1: From 0 to 2 hours, 0 levels are passed. From 2 to 4 hours, 2 levels are passed. From 4 to 6 hours, 4 levels are passed. The rate of change is not constant since it increases by 2 levels at each interval.
- Friend 2: From 0 to 2 hours, 0 levels are passed. From 2 to 4 hours, 4 levels are passed. From 4 to 6 hours, 6 levels are passed. The rate of change is not constant since it increases by different amounts at each interval.
- Friend 3: From 0 to 2 hours, 0 levels are passed. From 2 to 4 hours, 2 levels are passed. From 4 to 6 hours, 4 levels are passed. The rate of change is constant, increasing by 2 levels at each interval.
Based on this analysis, we can conclude that Friend 3's graph represents a proportional relationship, as the rate of change is constant.
To determine which friend's graph represents a proportional relationship, we need to look for a graph that shows a constant rate of change.
In a proportional relationship, the ratio between the two variables remains constant. This means that as one variable increases, the other variable increases or decreases by the same factor.
To analyze the graph, we need to look for a straight line passing through the origin (0,0). If the line is straight and passes through the origin, it indicates a proportional relationship.
Without the graph provided, it is not possible to determine which friend's graph represents a proportional relationship. Please provide the graph for a more accurate analysis.
To determine which friend's graph represents a proportional relationship, we need to understand what a proportional relationship is. In a proportional relationship, the ratio between two variables remains constant.
To find out if a graph represents a proportional relationship, we can examine the data points. If the ratios between the x-values and y-values are consistent, then it is a proportional relationship. In other words, if the ratio of the y-values to the x-values is the same for all data points, then it is a proportional relationship.
If we have the graphs for each friend, we can compare the ratios of their data points. However, since we don't have the exact graphs, we can't determine the proportional relationship directly.
If you have the data points for each friend's graph, you can calculate the ratios yourself. Take any two data points for each friend and divide the y-value (number of levels passed) by the x-value (amount of time played). Compare this ratio for different data points for each friend.
If the ratios are consistent for all data points of a friend, then their graph represents a proportional relationship. Otherwise, their graph does not represent a proportional relationship.
Without the specific data points or graphs, it is impossible to determine which friend's graph represents a proportional relationship.