document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105552>Question 105552</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry</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 answer, the student lost 1 point. For an unanswered question, no points were added or deducted.<BR>\n" );
document.write( "a) find best score possible<BR>\n" );
document.write( "b) find worst score possible<BR>\n" );
document.write( "c) find the linear function that converts the raw score described above to a score from 0 to 100<BR>\n" );
document.write( "d) What score from 0 to 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 #76809 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The students are only scored on the questions they answer.<BR>\n" );
document.write( "(a) The best score would be 50 questioned all answered correctly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A50+=+150 ALIGN=MIDDLE  ALT=\"3%2A50+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "(b) The worst score would be 50 qestions all answered incorrectly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2A50+=+-50 ALIGN=MIDDLE  ALT=\"-1%2A50+=+-50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(c) The raw score would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2AC+-+%28A+-+C%29 ALIGN=MIDDLE  ALT=\"3%2AC+-+%28A+-+C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where<BR>\n" );
document.write( "A = the number of questions answered, and<BR>\n" );
document.write( "C = the number of questions answered correctly<BR>\n" );
document.write( "I want the worst score of -50 to correspond to 0<BR>\n" );
document.write( "I want the best score of 150 to correspond to 100<BR>\n" );
document.write( "For the worst score to equal 0, I need to add 50, so I have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C+-+%28A+-+C%29+%2B+50 ALIGN=MIDDLE  ALT=\"3C+-+%28A+-+C%29+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A0+-+%2850+-+0%29+%2B+50+=+0 ALIGN=MIDDLE  ALT=\"3%2A0+-+%2850+-+0%29+%2B+50+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > this is true<BR>\n" );
document.write( "Now I have to make the best score = 100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%283%2A50+-+%2850+-+50%29%29+%2B+50+=+100 ALIGN=MIDDLE  ALT=\"k%283%2A50+-+%2850+-+50%29%29+%2B+50+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28150+-+50+%2B+50%29+%2B+50+=+100 ALIGN=MIDDLE  ALT=\"k%28150+-+50+%2B+50%29+%2B+50+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve for k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150k+=+50 ALIGN=MIDDLE  ALT=\"150k+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+1%2F3 ALIGN=MIDDLE  ALT=\"k+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the score is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%2A%283C+-+%28A+-+C%29%29+%2B+50 ALIGN=MIDDLE  ALT=\"1%2F3%2A%283C+-+%28A+-+C%29%29+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(d)C = 38<BR>\n" );
document.write( "   I = 4<BR>\n" );
document.write( "   A = 50 - 8 = 42<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%2A%283C+-+%28A+-+C%29%29+%2B+50 ALIGN=MIDDLE  ALT=\"1%2F3%2A%283C+-+%28A+-+C%29%29+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%2A%283%2A38+-+%2842+-+38%29%29+%2B+50 ALIGN=MIDDLE  ALT=\"1%2F3%2A%283%2A38+-+%2842+-+38%29%29+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%2A%28114+-+4%29+%2B+50 ALIGN=MIDDLE  ALT=\"1%2F3%2A%28114+-+4%29+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%2A110+%2B+50+=+86.66 ALIGN=MIDDLE  ALT=\"1%2F3%2A110+%2B+50+=+86.66\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );