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

/in /by

Exponential Function of Best Fit (using the data in Table 2): ye – 0.023 tty

= 89.976 where = Time Elapsed (minutes) and = 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) Since y = C – 69, we have coffee temperature C = 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) Consider the equation _____ = 89.976 e – 0.023t where the ____ is filled in with your answer from part (c).

 
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