document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157284>Question 157284</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1572321784/algebrahomeworkh>Thinking with Mathematical Models</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem.\r<BR>\n" );
document.write( "\n" );
document.write( "The astronomy club at King Middle School is planning a field trip to the science center to see a new 3-D science film.  Renting a bus for the trip will cost $125.  Admission to the film is $2.50 per person.\r<BR>\n" );
document.write( "\n" );
document.write( "a) Write an equation to show the relationship between the number of students who go on the trip, n, and the cost of the trip, c.\r<BR>\n" );
document.write( "\n" );
document.write( "My answer is c = 2.50n + 125.  Is this right?\r<BR>\n" );
document.write( "\n" );
document.write( "d) What do the slope and the y-intercept of the graph tell you about the cost and the number of students?  I have no idea, please help.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115930 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=115930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) You are correct. Try some values of \"n\" if you need a clear picture of what's going on. For instance, if 10 students go, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2.5%2810%29%2B125=25%2B125=150 ALIGN=MIDDLE  ALT=\"c=2.5%2810%29%2B125=25%2B125=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the cost will be $150. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d) The y-intercept is that initial cost. As you increment the number of students, that cost will increment by $2.50 (which is the slope). So for instance, you start at $125 (which is the rent), and one student goes, then the cost is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2.5%281%29%2B125=2.5%2B125=127.5 ALIGN=MIDDLE  ALT=\"c=2.5%281%29%2B125=2.5%2B125=127.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice how $127.5 is $2.50 more than $125 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );