Find a linear fn. that will convert 285 to 200 & 75 to 60

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The highest and lowest marks awarded on an examination were 285 and 75. All the marks must be reduced so that the highest and lowest marks become 200 & 60. Determine a linear function that will convert 285 to 200 and 75 to 60.

Sep 10th, 2014

The required line will pass through (285, 200) and (75, 60)

Gradient = 200-60/285-75

               =140/210

               =2/3

Required equation is (y- y1) =m (x-x1)

                                  (y-60) =2/3 (x-75)

                        y-60 =2/3x-50

                       y = 2/3x +10   (this is best for conversion – y is the adjusted score, x the raw mark)

or                   2x-3y +10 = 0


Sep 10th, 2014

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