Mathematics
Determine a linear function that will convert 285 to 200

Question Description

I’m studying for my Mathematics class and need an explanation.

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 and 60. A) Determine a linear function that will convert 285 to 200

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Final Answer

Linear function: y = m x + b

y= f(285)=200

y= f(75)=60

m = dif y/ dif x = (200-60)/(285-75) = 140/210 = 2/3

y = 2/3 x + b

To find b you can use the point (75,60)

2/3 (75) + b = 60

50 + b = 60

         b = 10

Answer: The function is: y = 2/3 x + 10

Checking:

(285, 200) --- 2/3 (285) + 10 = 190 + 10 = 200

(75,60) --- 2/3 (75) + 10 = 50 + 10 = 60

IleanaP (262)
UCLA

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