Solve the problem.
-Coffee is best enjoyed at a temperature of 115°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 6 minutes. He discovers
That a cup of coffee served at 197°F cools to 185°F in one minute when his restaurant is at 75°F. If he maintains
The restaurant temperature at 75°F, at what temperature should he serve the coffee to meet his goal?
A) 149°F
B) 169°F
C) 197°F
D) 144°F

Question

Quizplus · Accepted Answer

The rate of cooling is proportional to the difference in temperature between the coffee and the surrounding air. So, the rate of cooling is proportional to (T - 75). We know that the coffee cools from 197°F to 185°F in one minute, so the rate of cooling is (197 - 185) / 1 = 12°F per minute. We want the coffee to cool from T to 115°F in 6 minutes, so the rate of cooling must be (T - 115) / 6. Setting these two rates of cooling equal to each other, we get:(T - 75) / 1 = (T - 115) / 66(T - 75) = 1(T - 115)6T - 450 = T - 1155T = 335T = 67So, the restaurant owner should serve the coffee at 67°F.

Solve the Problem. -Coffee Is Best Enjoyed at a Temperature of 115°F. a of 115°F