document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952010>Question 952010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please explain to me how to set up the equations for these. Thank you!\r<BR>\n" );
document.write( "\n" );
document.write( "A catering service uses the function<BR>\n" );
document.write( "[c(x) = 300 + 17x/x] to determine the amount, in dollars, it charges per person for a sit-down dinner, where x is the number of people in attendance.<BR>\n" );
document.write( "(a) Find c(75) and explain what it represents.<BR>\n" );
document.write( "The company charges $ (Insert answer here )per person to cater a dinner for 75 people.\r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find c&#8722;1.<BR>\n" );
document.write( "c&#8722;1 =  <BR>\n" );
document.write( " <BR>\n" );
document.write( "(c) Use c&#8722;1 to determine how many people attended a dinner for which the cost per person was $19.00.<BR>\n" );
document.write( "c&#8722;1($19.00) =  <BR>\n" );
document.write( " people </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581405 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=581405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A catering service uses the function<BR>\n" );
document.write( " [c(x) = (300 + 17x)/x] to determine the amount, in dollars, it charges per person for a sit-down dinner, where x is the number of people in attendance.<BR>\n" );
document.write( " (a) Find c(75) and explain what it represents.<BR>\n" );
document.write( "c(75) = (300+17*75)/75 = $21<BR>\n" );
document.write( " The company charges $21 per person to cater a dinner for 75 people.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( " (b) Find c^&#8722;1.<BR>\n" );
document.write( " Interchange x and y to get::<BR>\n" );
document.write( "(300 + 17*y)/y = x<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Solve for y to get :<BR>\n" );
document.write( "300+17*c(x) = x*c(x)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "300 + 17y = yx<BR>\n" );
document.write( "17y-yx = -300<BR>\n" );
document.write( "y(x-17) = 300<BR>\n" );
document.write( "y = 300/(x-17)<BR>\n" );
document.write( "That is c^-1:::<BR>\n" );
document.write( "y is # of people<BR>\n" );
document.write( "x is cost per person<BR>\n" );
document.write( "-------------------\r<BR>\n" );
document.write( "\n" );
document.write( "(c) Use c^&#8722;1 to determine how many people attended a dinner for which the cost per person was $19.00.<BR>\n" );
document.write( " Solve::<BR>\n" );
document.write( "y = 300/(x = 17)<BR>\n" );
document.write( "y = 300/(19-17)<BR>\n" );
document.write( "y = 300/2<BR>\n" );
document.write( "y = 150 people<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "------------------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );