Mathematics (AS & A Level) · Oct / Nov 2017 · Paper 33 · Question 2
9709
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Two variable quantities x and y are believed to satisfy an equation of the form y = Cax , 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. [5] ln y x 0 1 2 3 4 1 2 3
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