SOLUTION: A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 80�F. The temperature of the coffee after t minutes is given by T(t) = 80 + 115e^&#8722;0.

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Question 1081004: A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 80�F. The temperature of the coffee after t minutes is given by
T(t) = 80 + 115e^−0.042t.
(a) Find the temperature, to the nearest degree, of the coffee 25 minutes after it is placed in the room.
______�F
(b) Use a graphing utility to determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 130�F.
After_____min
Found 2 solutions by amfagge92, MathTherapy:
Answer by amfagge92(93) (Show Source):
You can put this solution on YOUR website!
a.120 to nearest degree.
b. 0.45min
plot the graph on your own.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 80�F. The temperature of the coffee after t minutes is given by
T(t) = 80 + 115e^−0.042t.
(a) Find the temperature, to the nearest degree, of the coffee 25 minutes after it is placed in the room.
______�F
(b) Use a graphing utility to determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 130�F.
After_____min

Correct answers:

SOLUTION: A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 80�F. The temperature of the coffee after t minutes is given by T(t) = 80 + 115e^&#8722;0.

SOLUTION: A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 80�F. The temperature of the coffee after t minutes is given by T(t) = 80 + 115e^−0.