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A-LevelMathematicsLogarithmic and exponential functionsOct/Nov 2017Paper 3 Q25 Marks

Two variable quantities x and y are believed to satisfy an equation of the form y = C(aˣ), where C and a are constants. An experiment produced four pairs of values of x and y. The table below gives the corresponding values of x and ln y. X 0.9 1.6 2.4 3.2 ln y 1.7 1.9 2.3 2.6 By plotting ln y against x for these four pairs of values and drawing a suitable straight line, estimate the values of C and a. Give your answers correct to 2 significant figures.

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The correct answer is . This question tests the candidate's understanding of logarithmic and exponential functions within the Mathematicssyllabus. The examiner's mark scheme requires...

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Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) Oct/Nov 2017 examination, Paper 3 Variant 1. It tests the topic of Logarithmic and exponential functions and is worth 5 marks.

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