Question

Rachel drew the two graphs below. Rachel says that graph R has a greater slope than Graph S. Is Rachel correct or incorrect? Why?



(1 point)
Responses

Rachel is not correct; Graph S is steeper than Graph R.
Rachel is not correct; Graph S is steeper than Graph R.

Rachel is correct; Graph R goes farther along the x-axis.
Rachel is correct; Graph R goes farther along the x -axis.

Rachel is not correct; both graphs go through the origin and have the same slope.
Rachel is not correct; both graphs go through the origin and have the same slope.

Rachel is correct; Graph S is non-proportional.
Rachel is correct; Graph S is non-proportional.

Answer 1

To determine if Rachel is correct about the slopes of Graph R and Graph S, we need to understand how the slope of a graph is defined. The slope of a linear graph is usually calculated as the change in y (rise) divided by the change in x (run).

Since we do not have the graphs in this context, we can't definitively say which graph has a greater slope. However, we can analyze the options given:

1. "Rachel is not correct; Graph S is steeper than Graph R." - This could be true if Graph S has a larger rise/run ratio compared to Graph R.

2. "Rachel is correct; Graph R goes farther along the x-axis." - The extent to which a graph goes along the x-axis does not determine slope.

3. "Rachel is not correct; both graphs go through the origin and have the same slope." - This would be true if both graphs are indeed linear and proportional with the same slope.

4. "Rachel is correct; Graph S is non-proportional." - If Graph S is non-proportional, it generally means that its slope could be variable, while Graph R could be linear and proportional.

Without seeing the actual graphs, it’s impossible to definitively answer the question. However, based on slope definitions, if Graph S appears steeper than Graph R, then Rachel is incorrect. Conversely, if Graph R indeed has a greater slope, then Rachel would be correct.

Please check the graphs to determine which statement aligns with the visual evidence. If Graph S is steep and Rachel claims R has a greater slope, she would be incorrect. Thus, the correct response depends on the actual slopes depicted in the graphs.