8
Answer: ASet 12: Exponential Functions
Explanation
The temperature of coffee cools from 90°C to 45°C in 10 minutes. If it cools exponentially, what is the decay factor per 10 minutes?
A.✓ Correct
0.5
B.
2
C.
45
D.
0.9
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Calculate the ratio after one time period. 1. Initial: . 2. After 10 min: . 3. Decay Factor: . Strategic Tip: Decay factor = over one time period. Choice B is incorrect because this would be growth, not decay. Choice C is incorrect because this is the temperature, not the factor. Choice D is incorrect because this doesn't match the ratio.
Key Steps:
•
The correct answer is 0.5
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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