A new housekeeper at the Grand Hotel, James, is responsible for cleaning 30 rooms on the third floor. Housekeepers at the Grand typically improve based on an80%learning curve. On his first day, James completed the first 5 rooms in2.5hours.

a) Estimate how long James took to clean the first room?

b) Estimate how long it will take James to clean all 30 rooms on his first day?

c) Based on James' time for the first five rooms, estimate the average time it should take an expert housekeeper to clean 30 rooms?