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O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2010 · Q14 Marks

The variables x and y are related so that, when y/x² is plotted against x³, a straight line graph passing through (3, 9) and (7, 1) is obtained. Express y in terms of x. [Figure y/x² vs x³]

  1. The variables x and y are related so that, when y/x² is plotted against x³, a straight line graph passing through (3, 9) and (7, 1) is obtained. Express y in terms of x.[4]

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Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. [M1] Gradient -2
  2. [M1] y intercept 15
  3. [A1√] y/x² = -2x³ +15
  4. [A1√] y = -2x⁵ +15x²

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 2 Variant 1, question 1.

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