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AlgebraHardWhen a linear model reaches zero, from two values

Algebra practice question

A phone's battery is at 90% at 8 a.m. and at 60% at 2 p.m., draining at a constant rate. At what time will it reach 0%?

  1. A. 2 a.m. the next dayCorrect
  2. B. 8 p.m.
  3. C. midnight
  4. D. 10 p.m.

Answer: A. 2 a.m. the next day

30 percentage points in 6 hours is 5 per hour. From 90% at 8 a.m., reaching 0 takes 18 hours: 2 a.m. the next day.

Why the other answers are wrong

B. 8 p.m.
8 p.m. is 12 hours after 8 a.m., when 30% remains.
C. midnight
Midnight is 16 hours on, when 10% remains.
D. 10 p.m.
10 p.m. is 14 hours on, when 20% remains.

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