Hi again.
You are correct--the more sugar you add, the faster the yeast will produce carbon dioxide gas. Once the enzymes are saturated with sugar, however, the reaction will stay at that rate no matter how much more sugar you add. Here is a site that shows you what it would look like if you plotted yeast activity against sugar concentration:
http://www.ucl.ac.uk/~ucbcdab/enzass/substrate.htm
I really have no idea how much sugar is a saturating amount for a given amount of yeast. You could do a search for this information but it would be simpler to just try it. Start by choosing a fixed amount of your yeast beads in a relatively small volume--maybe 2 mL.
Make a strong sugar solution (by 'sugar' I assume we are talking about sucrose, right?) like 20% by dissolving it in hot water. Do you have a digital scale and a way to measure volume in milliliters (mL)? When you make a sugar solution in the lab it is usually expressed as weight of sucrose in a given volume of water, w/v. For 20% sucrose, then, you need to have 20 g of sugar in a FINAL volume of 100 mL. That means you need to add the sugar to a volume that is less than 100 mL then add water until you reach the 100 mL mark.
Now, to test your yeast you will need a small dropper that delivers about 0.1 mL. If you have a pipetter that you can use that would be better but a school lab may not have one. Add one drop of the 20% sucrose to the yeast in a volume of 2 mL and use a stopwatch to time the reaction. This amount of sugar gives a final concentration of about 1%. I don't know how fast the yeast will work, but if you don't see much activity try another tube of yeast with 2 drops of sugar and keep doing that until you get a good volume of CO2 produced. You should eventually be able to determine the saturating concentration of sugar for this amount of yeast.
I hope this isn't too complicated or difficult for you to do with the materials you have. You could just make up a bunch of sucrose solutions of lower concentrations and add the yeast to them, but you really don't know where to start. I'm guessing 1% sucrose, but I could be wrong.
Let us know what you think and we'll help you plan it out.
Good luck!
Sybee