Final answer:
Cody can give out 44 samples of frozen yogurt by dividing the total amount of 2 3/4 cups by the amount used in each 1/16 cup sample.
Step-by-step explanation:
Cody works at Pinkberry and has 2 3/4 cups of frozen yogurt to distribute as samples, with each sample containing 1/16 cups of frozen yogurt. To determine how many samples Cody can give out, we need to divide the total amount of yogurt by the amount in each sample.
First, convert 2 3/4 cups to an improper fraction. This equals 11/4 cups. Now, divide 11/4 cups by 1/16 cups to find the number of samples:
\(\frac{11/4}{1/16} = \frac{11/4}{1} \times \frac{16}{1} = \frac{11 \times 16}{4 \times 1} = \frac{176}{4} = 44\) samples.
Cody can give out 44 samples of frozen yogurt using all of the yogurt available.