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

Mathematics
Tutor: None Selected Time limit: 1 Day

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

When x=285, y=200

When x=75, y =60

Slope = (200-60)/(285-75)=140/210 =2/3

y=2/3x+c

200=2/3*285+c=190+c

c=200-190=10

y =(2/3)*x+10

Sep 10th, 2014

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