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

User Generated

Yhyh98

Mathematics

Question Description

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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Explanation & 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

znquninag (2757)
New York University

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