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

Question Description

Can you help me understand this Mathematics question?

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.

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Final Answer

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

madhavant (2757)
New York University

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