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advanced-mathA hot object at 200°F is placed in a room at 70°F. The temperature follows Newton's Law of Cooling: where is in minutes. What is the temperature after 10 minutes?
A
About 118°F
B
About 150°F
C
About 70°F
D
About 85°F
Correct Answer: A
Choice A is the correct answer. Evaluate at .
- Substitute: .
- Calculate: .
- Compute: .
- Result: .
💡 Strategic Tip: Newton's Law: .
Choice B is incorrect because this doesn't account for exponential decay. Choice C is incorrect because it hasn't cooled to room temperature yet. Choice D is incorrect because the decay is not that rapid.