Final answer:
Dr. Peterson works 2,136 hours each year.
Step-by-step explanation:
To find how many hours Dr. Peterson works each year, we can multiply the number of hours she works each month by the number of months in a year.
Dr. Peterson works 178 hours each month, and there are 12 months in a year, so the total number of hours she works each year is 178 * 12 = 2,136 hours.