2
advanced-mathCoffee at 180°F cools in a 70°F room. After 5 minutes it's 150°F. Using Newton's Law , find .
A
About 0.063
B
About 0.1
C
About 0.05
D
About 0.15
Correct Answer: A
Choice A is the correct answer. Solve for the cooling constant .
- Given: , so .
- Isolate: .
- Divide: .
- Natural log: .
- Solve: .
💡 Strategic Tip: Use given data points to find unknown constants in exponential models.
Choice B is incorrect because this cooling rate is too fast. Choice C is incorrect because this is slightly too slow. Choice D is incorrect because this rate is way too fast.