To determine if Rachel is correct about the slopes of Graph R and Graph S, we need to analyze the characteristics of the graphs in relation to their slopes. Slope is defined as the change in the y-value divided by the change in the x-value (rise over run).
Without specific details about the graphs themselves, we can make some general observations:
- If both graphs go through the origin (0,0) and have the same slope, then Rachel is incorrect in claiming that one graph has a greater slope than the other.
- If Graph S is steeper than Graph R, then Rachel is also incorrect.
- If Graph R is indeed steeper, meaning it has a greater slope as compared to Graph S, then Rachel would be correct.
- The statement that "Graph S is non-proportional" may be true or false depending on its representation. Non-proportional relationships do not go through the origin.
Therefore, without seeing the actual graphs, but based on the options given, the most logical conclusion is derived from the analysis of slopes.
If Graph R has a greater slope than Graph S, the option corresponding to that is correct. If Graph S is steeper than Graph R or if both slopes are equal, then Rachel would be incorrect.
Since we don’t have the visual of the graphs here, you will need to apply this reasoning to decide which option is most appropriate based on what you observe in the graphs Rachel has drawn. If Graph S appears steeper according to your observation, then use the option: "Rachel is not correct; Graph S is steeper than Graph R." If you see Graph R has a greater slope, then use "Rachel is correct; Graph R goes farther along the x-axis," or a related statement about the slopes being greater.
1 answer