document.write( "Question 1208821: Hi
\n" ); document.write( "In a maths quiz containing 10 questions 4 points are awarded for each correct answer 1 point is deducted for each wrong answer and no points for each blank answer. How many scores are possible. \n" ); document.write( "

Algebra.Com's Answer #847285 by ikleyn(52810) $\"\"$ $\"About$

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document.write( "Let k be the number of correct answers,  0 <= k <= 10.\r\n" );
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document.write( "Then the number of wrong answers is 10-k.\r\n" );
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document.write( "The formula for the score as the function of \"k\" is\r\n" );
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document.write( "    S(k) = 4k - (10-k) = 5k - 10.\r\n" );
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document.write( "So, when k =   0,  1, 2, 3,  4,  5,  6,  7,  8,  9, 10,  the values for S(k) are\r\n" );
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document.write( "             -10, -5, 0, 5, 10, 15, 20, 25, 30, 35, 40 .\r\n" );
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document.write( "Thus, 11 different values of scores are possible.\r\n" );
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