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4 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · May/June 2010 · Paper 2 · Question 9(b)(ii)

A farmer supplies his neighbours with x pumpkins and y melons daily, using the following conditions: First condition: y ≥ 3; Second condition: y ≤ x; Third condition: the total number of pumpkins and melons must not exceed 12.

Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the THREE lines associated with the THREE inequalities.

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Other parts of this question

  1. 9(a)(i)a)Using the graph, determine the MAXIMUM speed[4 marks]
  2. 9(a)(i)b)Using the graph, determine the number of seconds for which the speed was constant[4 marks]
  3. 9(a)(i)c)Using the graph, determine the TOTAL distance covered by the athlete during the race.[4 marks]
  4. 9(a)(ii)a)During which time-period of the race was the speed of the athlete increasing[3 marks]
  5. 9(a)(ii)b)During which time-period of the race was the speed of the athlete decreasing[3 marks]
  6. 9(a)(ii)c)During which time-period of the race was the acceleration of the athlete zero?[3 marks]
  7. 9(b)(i)Write an inequality to represent the THIRD condition.[1 mark]
  8. 9(b)(iii)Identify, by shading, the region which satisfies the THREE inequalities.[1 mark]
  9. 9(b)(iv)Determine, from your graph, the minimum values of x and y which satisfy the conditions.[2 marks]

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