Quelpr
1 markGraphs of Linear Inequalities (Two Variables)

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

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.

Identify, by shading, the region which satisfies the THREE inequalities.

The mark scheme is shown once you've answered.

Practise this question

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)(ii)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…[4 marks]
  9. 9(b)(iv)Determine, from your graph, the minimum values of x and y which satisfy the conditions.[2 marks]

More practice: the rest of this paper · more Graphs of Linear Inequalities (Two Variables) questions · all CSEC Mathematics past papers