O-LevelAdditional MathematicsStraight line graphs4037/21 · Oct/Nov 2011 · Q97 Marks

The table shows experimental values of two variables x and y. x | 1 | 2 | 3 | 4 | 5 y | 3.40 | 2.92 | 2.93 | 3.10 | 3.34 It is known that x and y are related by the equation y = a/√x + bx, where a and b are constants.

(i)Complete the following table. x√x | | | | | y√x | | | | | [1]
(ii)On the grid on page 11 plot y√x against x√x and draw a straight line graph.[2]
(iii)Use your graph to estimate the value of a and of b.[3]
(iv)Estimate the value of y when x is 1.5.[1]

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Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

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Topic: Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2011 Paper 2 Variant 1, question 9.

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