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1 markGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · January 2010 · Paper 2 · Question 10(b)(ii)

Shade the region which is defined by ALL of the following combined: the inequalities written at (a)(i) and (a)(ii), the inequalities x ≥ 0 and y ≥ 0.

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  1. 10(a)(i)Write an inequality to represent the given condition.[2 marks]
  2. 10(a)(ii)Write an inequality to represent this condition.[2 marks]
  3. 10(b)(i)Using a scale of 2 cm on the x-axis to represent 5 small pizzas and 2 cm on the y-axis to represent 5 large pizzas, draw the graphs of the lines associated…[4 marks]
  4. 10(b)(iii)Using your graph, state the coordinates of the vertices of the shaded region.[2 marks]
  5. 10(c)(i)Write an expression in x and y for the TOTAL profit made on the sale of the pizzas.[1 mark]
  6. 10(c)(ii)Use the coordinates of the vertices given at (b)(iii) to determine the MAXIMUM profit.[3 marks]

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