document.write( "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) \n" ); document.write( "
Algebra.Com's Answer #189914 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "Two points: (22,60), (78,95)
\n" ); document.write( "slope = (95-60)/(78-22) = 35/56
\n" ); document.write( "-------------------------
\n" ); document.write( "intercept:
\n" ); document.write( "new = slope(old)+b
\n" ); document.write( "60 = (35/56)(22) + b
\n" ); document.write( "b = 46.25
\n" ); document.write( "-----------------------
\n" ); document.write( "Equation:
\n" ); document.write( "n(x) = (35/56)x + 46.25
\n" ); document.write( "n(8) = (35/56)8 + 46.25
\n" ); document.write( "n(8) = 51.25
\n" ); document.write( "=========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );