Final answer:
NPY and orexin are the pair of peptides contained within the lateral hypothalamus that is thought to increase eating.
Step-by-step explanation:
The pair of peptides contained within the lateral hypothalamus that is thought to increase eating is NPY and orexin. NPY (neuropeptide Y) is a potent appetite stimulant, while orexin (also known as hypocretin) regulates wakefulness and appetite. These two peptides work together to promote hunger and increase food intake.