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2 marksRepresenting Linear Inequalities (One Variable)

CSEC Mathematics · May/June 2006 · Paper 2 · Question 10(i)

The owner of a parking lot wishes to park x vans and y cars for persons attending a function. The lot provides parking space for no more than 60 vehicles.

Write an inequality to represent this information.

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Other parts of this question

  1. 10(ii)Write an inequality to represent this information.[1 mark]
  2. 10(iii)Write an inequality to represent this information.[2 marks]
  3. 10(iv)a)Using a scale of 2 cm to represent 10 vans on the x-axis and 2 cm to represent 10 cars on the y-axis, draw the graphs of the lines associated with the…[5 marks]
  4. 10(iv)b)Identify, by shading, the region which satisfies all three inequalities.[1 mark]
  5. 10(v)Write an expression in x and y for the total fees charged for parking x vans and y cars.[1 mark]
  6. 10(vi)Using your graph write down the coordinates of the vertices of the shaded region.[1 mark]
  7. 10(vii)Calculate the maximum fees charged.[2 marks]

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