According to the results presented by the experiment, the relationship between the lift force and the vesicle radius would best be described as:

Exponential

Explanation: Examining and studying both the second and third columns in Table 1, it's clearly shown that as the radius increases, so does the lift force, eliminating choice B. Having chosen the first two vesicles, the estimated slope, or "rise over run," is calculated to be (4.7 - 0.2) / (20.5 - 8.7) ~ 4.5/12 ~ 0.4. If we instead use the last two vesicles, we obtain a value of (153.6 - 87.1) / (67 - 50.9) ~ 66.5/16 ~ 4. Therefore, the slope keeps increasing at a rate perceived to be ever-higher, which can be affirmed by inspecting other combinations of data for the vesicles. On this wise it can be concluded that the relationship is exponential.

question - in 1827, john walker, a druggist in a small english town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. the druggist had discovered the first friction-chemical match, the kind we use to-day. it is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. although walker's match did not require the bottle of acid, nevertheless it was not a good one. it could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. in a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. the match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. it would ignite when rubbed on any dry surface, and there was no longer any sputtering. this was the phosphorus match, the match with which we are so familiar. according the paragraph what was the benefit of the new phosphorus match? it burst into flame when rubbed on sandpaper. it was made by mixing chemicals. it could be ignited on any dry surface. it threw fire in all directions.

answer - matches required natural chemicals