SOLUTION: The raw scores on a test range from 22 to 78. The teacher would like to rescale the scores from 60 to 95. Find the linear function that will rescale the scores. What will a raw sco

Question 258044: The raw scores on a test range from 22 to 78. The teacher would like to rescale the scores from 60 to 95. Find the linear function that will rescale the scores. What will a raw score of 45 be worth? What raw score will convert to a 90? (round to the nearest whole point)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The raw scores on a test range from 22 to 78. The teacher would like to rescale the scores from 60 to 95. Find the linear function that will rescale the scores. What will a raw score of 45 be worth? What raw score will convert to a 90? (round to the nearest whole point)
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Two points: (22,60), (78,95)
slope = (95-60)/(78-22) = 35/56
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intercept:
new = slope(old)+b
60 = (35/56)(22) + b
b = 46.25
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Equation:
n(x) = (35/56)x + 46.25
n(8) = (35/56)8 + 46.25
n(8) = 51.25
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Cheers,
Stan H.
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