16. Alex needs a bowl to mix her punch. She has a 1-cup bowl, a 2-cup bowl, and a 4-cup bowl. What is the smallest bowl she can use to make her punch? Explain. Select the correct choice below and fill in the answer box within your choice. (Type a whole number, fraction, or mixed number.) A. The 2-cup bowl is the smallest she can use because the recipe makes $$ 1 \frac{5}{6} $$ cup(s) of punch. B. The 4-cup bowl is the smallest she can use because the recipe makes C. The 1-cup bowl is the smallest she can use because the recipe makes cup(s) of punch.

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UpStudy AI · Accepted Answer

To determine the smallest bowl Alex can use to mix her punch, we need to analyze the amount of punch she needs to make, which is given as $$ 1 \frac{5}{6} $$ cups.

1. **Convert the mixed number to an improper fraction:**
   $$
   1 \frac{5}{6} = \frac{6}{6} + \frac{5}{6} = \frac{11}{6}
   $$

2. **Compare the amount of punch needed with the sizes of the bowls:**
   - 1-cup bowl: can hold $$ 1 $$ cup
   - 2-cup bowl: can hold $$ 2 $$ cups
   - 4-cup bowl: can hold $$ 4 $$ cups

3. **Determine which bowl can hold at least $$ \frac{11}{6} $$ cups:**
   - The 1-cup bowl cannot hold $$ \frac{11}{6} $$ cups since $$ \frac{11}{6} \approx 1.83 $$ cups.
   - The 2-cup bowl can hold $$ 2 $$ cups, which is more than $$ \frac{11}{6} $$ cups.
   - The 4-cup bowl can also hold $$ 4 $$ cups, which is more than $$ \frac{11}{6} $$ cups.

4. **Conclusion:**
   The smallest bowl that can hold at least $$ \frac{11}{6} $$ cups is the 2-cup bowl.

Thus, the correct choice is:
**A. The 2-cup bowl is the smallest she can use because the recipe makes $$ 1 \frac{5}{6} $$ cup(s) of punch.**
The 2-cup bowl is the smallest she can use because the recipe makes $$ 1 \frac{5}{6} $$ cups of punch.

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