Final answer:
Jake will use 1/2 cup of juice to make punch, which is less than 2/3 cups of juice. Therefore, the correct answer is A. Jake will use less than 2/3 cups of juice.
Step-by-step explanation:
Jake has 3/4 cups of juice and he needs 2/3 of that amount to make punch. To find out how much juice he will use, we need to multiply these two fractions:
(3/4) * (2/3) = (3*2) / (4*3) = 6/12 = 1/2 cup of juice
Therefore, Jake will use 1/2 cup of juice, which is less than 2/3 cups of juice. Accordingly, the answer to whether he will use more or less than certain amounts of juice is:
- A. Jake will use less than 2/3 cups of juice.
Options B and C are incorrect because Jake is using only 1/2 cup, which is not more than 1 cup or 3/4 cup.