document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102867>Question 102867</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trig Book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> On a 50 question true-false test, a student received 3 points for each correct answer.  For each incorrect aswer, the student lost 1 point.  For uanswered question, no poits were added or deducted.<BR>\n" );
document.write( "a.  What is the best possible score<BR>\n" );
document.write( "b.  Find the worst possible score<BR>\n" );
document.write( "c.  Find the linear function that converts the raw score described above to a score from 0-100.<BR>\n" );
document.write( "d.  What score fom 0-100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74812 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect aswer, the student lost 1 point. For uanswered question, no poits were added or deducted.<BR>\n" );
document.write( "a. What is the best possible score.........150<BR>\n" );
document.write( "b. Find the worst possible score..........-50<BR>\n" );
document.write( "c. Find the linear function that converts the raw score described above to a score from 0-100.<BR>\n" );
document.write( "You have two points (-50,0),(150,100)<BR>\n" );
document.write( "slope = 100/200 = 1/2<BR>\n" );
document.write( "0 = (1/2)(-50)]+b<BR>\n" );
document.write( "b= 25<BR>\n" );
document.write( "y = (1/2)x+25<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "d. What score fom 0-100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted.<BR>\n" );
document.write( "38 correct = 38*3 = 114 pts<BR>\n" );
document.write( "4 incorrect = -4<BR>\n" );
document.write( "Total point = 110<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Conerting to the new scale:<BR>\n" );
document.write( "y = (1/2)x+25<BR>\n" );
document.write( "y = (1/2)110+25<BR>\n" );
document.write( "y = 80<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );