Teacher: So, the relationship, and here it's between... Student : Radius and height. Teacher: Radius and height, so you can see the relationship here, right, which is what? Teacher: Ben, what's the relationship here? Student1: The relationship between height and... between the radius and the height. Teacher: What is the relationship? Teacher: Well, we said you made a graph to show the relationship, Teacher: so everyone should be able to tell us the relationship. Stu2? Student2: As the radius increases, the height decreases. Teacher: As the radius increases, the height decreases. Teacher: So by now, you should know that that is correct, but not enough information, Teacher: because that could mean it's linear, right? So, if you say as the radius increases Teacher: the height decreases, that could be linear, and we know that this isn't linear. Teacher: So, how could you give more information for that? Stu3? Student3: It's an inverse relationship. Teacher: It's not an inverse relationship, necessarily. Okay? Teacher: You need some more information to make it inverse. It might be inverse. Teacher: What can you say by looking at that? As the radius increases, Teacher: how do you know its not linear? Stu4? Student4: Because when the radius increases, it increases by a constant rate, Student4: and when the height decreases, it doesn't decrease by a constant rate. Teacher: Okay, a little more information. Teacher: I'm still not getting a really good description of this graph. Stu5? Student5: Well, I don't know how to explain this, but it goes down faster in the beginning, Student5: then it levels off. Teacher: Okay, so as the radius increases, the height... Student5: Decreases. Teacher: Decreases how, Stu5? You said it beautifully. Student5: Faster in the beginning, then it levels off at the end. Teacher: Exactly. Now, because they chose a scale that only went up to six, Teacher: what are you limited as far as using this graph? Teacher: And I think Stu3 referred to it earlier. How does this limit you Teacher: since the radius only goes up to six? Stu6? Student6: You can't see how it continues on? Teacher: Exactly. If you only go up to the limit that you have, you can't really see any more. Teacher: And so you might want to go a little beyond where you're assigned, so you can check it out.