| Student1: | so if you increase one you have to decrease the other to make it multiply to 250. |
| Teacher : | What did you do to the radius to get the base area? |
| Student: | Pi-r-squared... ? |
| Teacher : | What did you do to the radius to get the base area? |
| Student1: | It's, ah, pi-r-squared, so you... |
| Teacher : | Pi-r-squared. I want you to think about the x-axis. As the radius goes up by one, |
| Teacher : | think about radius squared. The radius is one, what's r-squared? |
| Student: | One |
| Teacher : | One. If the radius is 2, what's r-squared? |
| Student: | 4 |
| Teacher : | 4. So it jumped by... |
| Student: | 3. |
| Teacher : | If the radius goes up to 3, what's r-squared? |
| Student: | 9. |
| Teacher: | 9. So it jumped by... |
| Student: | 6. |
| Teacher : | 5. So as your radius goes up by 1, your height is changing |
| Teacher : | because you're squaring the radius. We haven't really had a problem like that before. |
| Teacher : | But your radius is getting squared, isn't it? |
| Teacher : | And so it isn't changing by a constant amount, it's squared. |
| Teacher : | But just to correct you, on the x-axis, is the radius going up by a constant amount? |
| Student: | Yes. |
| Teacher : | Yes. The radius goes up by a constant amount... |
| Teacher : | Yes. The radius goes up by a constant amount... |
| Teacher : | Yes. The radius goes up by a constant amount... |
| Student1: | But the base area isn't. |
| Teacher : | Right. Because of the squaring... Okay, good. Okay, number three, |
| Teacher : | Right. Because of the squaring... Okay, good. |