Based on data from 1990 to 1999, the average hotel/motel room rate can be modeled by

R(t) =27.80

1 + 47.23e^0.6425t

+ 57 dollars per day

where t is the number of years since the end of 1990.

Approximate the rate at which the hotel/motel room rate was changing at the end of 1996. (Round your answer to two decimal places.)

dollars per day per year

Approximate the rate at which the hotel/motel room rate was changing at the end of 1998. (Round your answer to two decimal places.)

dollars per day per yea