Final answer:
The ratio of homework papers to exit tickets for Mrs. Randolph is 8:7 (option c), and for Mr. Pina, it is 32:30 (option d) after reducing both ratios to their simplest forms.
Step-by-step explanation:
The question asks us to write a ratio to represent the number of homework papers to the number of exit tickets each teacher has to return. For Mrs. Randolph, this ratio is the number of homework papers (16) to the number of exit tickets (14), which can be represented as 16:14 or reduced to 8:7 by dividing both numbers by 2. For Mr. Pina, the ratio is the number of homework papers (64) to the number of exit tickets (60), which can be represented as 64:60 or reduced to 32:30 by dividing both numbers by 2. It is important to reduce fractions to their simplest form to make them easier to work with.