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advanced-mathA phone's battery percentage follows where is hours. After how many hours is the battery at 50%?
A
Between 8 and 9 hours
B
Exactly 50 hours
C
Between 2 and 3 hours
D
After 10 hours
Correct Answer: A
Choice A is the correct answer. Solve .
- Simplify: .
- Test Values:
- : (above 0.5)
- : (below 0.5)
- Conclusion: Answer is between 8 and 9 hours.
💡 Strategic Tip: For SAT, estimation and testing values is often faster than logarithms.
Choice B is incorrect because 50 is the target percentage, not the time. Choice C is incorrect because the decay is too slow for this short time. Choice D is incorrect because by hour 10, battery would be below 50%.