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Answer: ASet 9: Exponential Functions
Explanation
A battery loses 5% of its charge per day. Starting at 100%, after how many days will it be below 80%?
A.✓ Correct
5 days
B.
4 days
C.
3 days
D.
6 days
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Find when charge drops below 80%. 1. Retention: Loses 5%, keeps 95% = 0.95 per day. 2. Formula: . 3. Test: - Day 4: (above 80%) - Day 5: (below 80%) ✓ 4. Answer: 5 days. Strategic Tip: Test successive days to find when it crosses the threshold. Choice B is incorrect because charge is still above 80% at day 4. Choice C is incorrect because charge is well above 80% at day 3. Choice D is incorrect because it drops below 80% before day 6.
Key Steps:
•
The correct answer is 5 days
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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