To determine whether Rachel is correct or incorrect about the steepness of the slopes of graphs S and R, we need to analyze the slopes of both graphs.
- If Graph S has a slope of 2 and Graph R has a slope of 0.5, this means that Graph S is indeed steeper than Graph R.
- If both graphs go through the origin and have the same slope, then neither graph is steeper than the other.
- If Graph R is steeper than Graph S, then Rachel's statement would be incorrect.
Without the visual representation of the graphs to refer to directly, the only option that provides specific values for the slopes is: "Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5." If this statement accurately describes the graphs, then Rachel is correct.
Therefore, the correct response seems to be: Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.