document.write( "Question 1109571: Hi,\r
\n" ); document.write( "\n" ); document.write( "I would like to calculate values based on the following given:\r
\n" ); document.write( "\n" ); document.write( "23 points is 100%
\n" ); document.write( "16 points is 60%\r
\n" ); document.write( "\n" ); document.write( "So by that logic, what is the percentage of 17, 18, 19, 20, 21 and 22 points?\r
\n" ); document.write( "\n" ); document.write( "Normally, 16 points would equal 70%, and if you assume that 16 points is 60%, then 100% would normally be 26,66. But given the above values, what are the percentages of the points in between 16 and 23 when 16 = 60% and 23 = 100%? \n" ); document.write( "
Algebra.Com's Answer #724559 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
There are 7 increments between 16 and 23 which are to cover 40%
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\n" ); document.write( "each point is 40 / 7 = 5.7143%
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\n" ); document.write( "Note this approach assumes a uniform distribution of the 40%
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\n" ); document.write( "so the 17 point is 65.7143%
\n" ); document.write( ":
\n" ); document.write( "looking at this as an arithmetic progression, then
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\n" ); document.write( "x(n) = a(0) + d(n-17), where n is the point number, d=5.7143 and a(0) = 65.7143
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\n" ); document.write( "the formula becomes
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\n" ); document.write( "x(n) = 65.7143 + 5.7143(n-17)
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