To determine whether Rachel is correct or incorrect about the slopes of Graph S and Graph R, we need to understand a few things about slopes:
- Steeper Slope: A steeper slope means a higher absolute value of the slope. For instance, a slope of 2 is steeper than a slope of 0.5.
- Proportional vs Non-Proportional: Proportional relationships go through the origin (0,0), while non-proportional relationships do not.
Without the actual graphs to analyze, we can consider the statements provided:
- If Graph S has a slope of 2 and Graph R has a slope of 0.5, then Rachel is correct; Graph S is indeed steeper.
- If both graphs have the same slope or if Graph R has a slope that is greater than that of Graph S, then Rachel is incorrect.
- Additionally, the context of proportionality would matter if it is specified in the claims.
From the possible responses, the most definitive option that can be considered correct (or incorrect) based on assumed slopes would be:
Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.
However, this assumes the given slopes are accurate. Verify the slopes from the graphs to determine the true answer. Based on the information given, we cannot definitively conclude without knowing the specifics of each graph. If you're equipped with the graphs, check the slopes against the criteria to make a final judgment.
1 answer