Forming and solving an inequality with a decreasing quantity

Forming and solving an inequality with a decreasing quantity

Secondary 2

A phone battery is at \(92\%\) when a video starts. While the video plays, the battery level falls by \(6\%\) every hour. The phone must keep at least \(20\%\) for the journey home.

  1. Taking \(h\) as the number of hours of video, form an inequality in \(h\).
  2. Solve the inequality and state the greatest number of whole hours of video that can be played.
  3. On the journey home, the battery level falls by \(2\%\) every \(10\) minutes. After the greatest number of whole hours of video, can the phone last a \(40\)-minute journey? Explain.

Solution:

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Answer:(a) \(92-6h\ge20\) (b) \(h\le12\); \(12\) hours (c) yes: \(20\%-8\%=12\%\) remains

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