document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127380>Question 1127380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular &#8203;$33 price of the ticket by &#8203;$0.50 for each ticket sold. The cost of the&#8203; bus, &#8203;$450&#8203;, will be split equally among each of the students. How many students must attend to keep the cost per student at or below $33? </SPAN>\n" );
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document.write( "The cost of the bus is a fixed $450.<br><BR>\n" );
document.write( "For x students, the cost of each ticket will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33-0.5x ALIGN=MIDDLE  ALT=\"33-0.5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >; the total cost of the tickets for the x students will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2833-0.5x%29 ALIGN=MIDDLE  ALT=\"x%2833-0.5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "We want the cost per student to be $33 or less.  Instead of solving an inequality, we can solve an equation to find the number of students that will make the cost per student equal to $33.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28450%2Bx%2833-0.5x%29%29%2Fx+=+33 ALIGN=MIDDLE  ALT=\"%28450%2Bx%2833-0.5x%29%29%2Fx+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450%2B33x-0.5x%5E2+=+33x ALIGN=MIDDLE  ALT=\"450%2B33x-0.5x%5E2+=+33x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450-0.5x%5E2+=+0 ALIGN=MIDDLE  ALT=\"450-0.5x%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%5E2+=+450 ALIGN=MIDDLE  ALT=\"0.5x%5E2+=+450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+900 ALIGN=MIDDLE  ALT=\"x%5E2+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30 ALIGN=MIDDLE  ALT=\"x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The cost per student will be $33 if the number of students is 30; it will be less than $33 if the number of students is greater than 30. </SPAN>\n" );
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