Final answer:
We do not have the total amount of sugar needed for a full batch to solve the question. To find out how many cups of sugar one needs for one-third of a batch, one would divide the total amount for a full batch by 3. Without this key information, we are unable to provide an option from a) 1 cup b) 2 cups c) 3 cups d) 1/3 cup.
Step-by-step explanation:
The question asks us to calculate how many cups of sugar Jasmine and Bryant need for one-third of a batch. The provided example illustrates how different amounts of sugar can take up space in a solution. This example shows that a teaspoon of sugar occupies less space than a quarter cup of sugar, thus affecting the total volume of water in each glass. However, it appears that the main question does not give information on the total amount of sugar needed for a full batch, which is essential to answer the question accurately. When knowing this information, we would divide that amount by 3 to find the amount needed for one-third of a batch.
Without the total sugar needed for a full batch, we cannot provide an accurate answer to the options given: a) 1 cup b) 2 cups c) 3 cups d) 1/3 cup. Nonetheless, to understand the concept, if for example a full batch requires 9 cups of sugar, then one-third of a batch would need:
9 cups / 3 = 3 cups
Therefore, for a full batch requiring 9 cups of sugar, Jasmine and Bryant would need 3 cups for one-third of a batch.