Set 13: Exponential Functions (Advanced)
Explanation
A battery loses 5% of its charge per day. Starting at 100%, after how many days will it be below 80%?
5 days
4 days
3 days
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
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