Multiple choice

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.0x2 where y is the height of the arch in metres. The maximum possible height of the arch is

  1. 8 metres

  2. 10 metres

  3. 12 metres

  4. 14 metres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The equation y = 2x - 0.1x^2 (assuming typo 0.0x^2 is 0.1x^2) represents a parabola. The maximum height occurs at the vertex where dy/dx = 0. 2 - 0.2x = 0 implies x = 10. Substituting x = 10 into the equation gives y = 2(10) - 0.1(100) = 20 - 10 = 10 meters.

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