f(x) = 89.98 exp( − 0.02 x )
R² = 0.98
Temperature Difference between Coffee and Room
Time Elapsed (minutes)
Temperature Difference (degrees)
Exponential Function of Best Fit (using the data in Table 2):
= Time Elapsed (minutes) and
= Temperature Difference (in degrees)
(a) Use the exponential function to estimate the temperature difference
when 25 minutes have elapsed. Report
your estimated temperature difference to the nearest tenth of a degree.
69, we have coffee temperature
+ 69. Take your difference estimate from part (a)
add 69 degrees. Interpret the result by filling in the blank:
When 25 minutes have elapsed, the estimated coffee temperature is
Suppose the coffee temperature
is 100 degrees.
____ degrees is the temperature
between the coffee and room temperatures.
____ is filled in with your answer from part (c).
EXTRA CREDIT (6 pts):
Show algebraic work
to solve this part (d) equation for
, to the nearest tenth. Interpret your results clearly in the
context of the coffee application.
[Use additional paper if needed]