Solve the problem.Coffee is best enjoyed at a temperature of 119°F. A restaurant owner wants to discover the temperature T at which he should serve his coffee so that it will have cooled to this ideal temperature in 4 minutes. He discovers that a cup of coffee served at 200°F cools to 180°F in one minute when his restaurant is at 73°F. If he maintains the restaurant temperature at 73°F, at what temperature should he serve the coffee to meet his goal? Use Newton's law of cooling, f(t) = T0 + Ce-kt, where f(t) is the temperature at time t after being introduced into an environment with a constant temperature T0 and C and k are constants.
A. 159°F
B. 200°F
C. 164°F
D. 184°F
Answer: C
Mathematics
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