Exponential Function of Best Fit (using the data in Table 2):

y = 89.976 e ^{- 0.023 t} where t = Time Elapsed (minutes) and y = Temperature Difference (in degrees)

(a) Use the exponential function to estimate the temperature difference y when 25 minutes have elapsed. Report your estimated temperature difference to the nearest tenth of a degree.(explanation/work optional)

(b) Sincey=C- 69, we have coffee temperatureC=y+ 69. Take your difference estimate from part (a)and add 69 degrees. Interpret the result by filling in the blank:

When 25 minutes have elapsed, the estimated coffee temperature is________degrees.

(c) Suppose the coffee temperature C is 100 degrees. Then y=C- 69 = ____ degrees is the temperature difference between the coffee and room temperatures.

(d) Considerthe equation_____ =89.976 e ^{- 0.023t}where the ____ is filled in with your answer from part (c).