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1 markTranslation Between Algebraic and Worded Expressions

CSEC Mathematics · May/June 2009 · Paper 2 · Question 10(a)(i)

A shop owner buys x guitars and y violins. The number of violins must be less than or equal to the number of guitars. The cost of one guitar is 150 and one violin is 300. He has $4500 to spend. He must buy at least 5 violins.

Write an inequality to represent the information that the number of violins must be less than or equal to the number of guitars.

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Other parts of this question

  1. 10(a)(ii)Write an inequality to represent the information about the total cost of guitars and violins given the budget of $4500.[2 marks]
  2. 10(a)(iii)Write an inequality to represent the information that the owner must buy at least 5 violins.[1 mark]
  3. 10(b)(i)Using a scale of 2 cm on the horizontal axis to represent 5 guitars, and 2 cm on the vertical axis to represent 5 violins, draw the graphs of the lines…[4 marks]
  4. 10(b)(ii)Shade the region on your graph that satisfies all THREE inequalities.[1 mark]
  5. 10(b)(iii)State the coordinates of the vertices of the shaded region.[2 marks]
  6. 10(c)(i)Express the TOTAL profit in terms of x and y.[1 mark]
  7. 10(c)(ii)Calculate the maximum profit.[3 marks]

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