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)
---------------------
Two points: (22,60), (78,95)
slope = (95-60)/(78-22) = 35/56
-------------------------
intercept:
new = slope(old)+b
60 = (35/56)(22) + b
b = 46.25
-----------------------
Equation:
n(x) = (35/56)x + 46.25
n(8) = (35/56)8 + 46.25
n(8) = 51.25
=========================
Cheers,
Stan H.
|
|
|
