document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624012>Question 624012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You need a total of 50 pounds of two types of ground beef costing $1.25 and $1.60 per pound, respectively. A model for the total cost y of the two types of beef is\r<BR>\n" );
document.write( "\n" );
document.write( "y = 1.25x + 1.60(50 - x)\r<BR>\n" );
document.write( "\n" );
document.write( "where x is the number of pounds of the less expensive ground beef.<BR>\n" );
document.write( "a) Find the inverse function of the cost function. What does each variable represent in the inverse function?<BR>\n" );
document.write( "b) Use the context of the problem to determine the domain of the inverse function.<BR>\n" );
document.write( "c) Determine the number of pounds of the less expensive ground beef purchased when the total cost is $73\r<BR>\n" );
document.write( "\n" );
document.write( "(I have tried A and B, A. (x-80)/-0.35=y x=total cost, y=number of pounds<BR>\n" );
document.write( "B.y=all real numbers) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392524 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have good answers for parts a) and b).<BR>\n" );
document.write( "I would write the inverse as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2880-x%29%2F0.35 ALIGN=MIDDLE  ALT=\"y=%2880-x%29%2F0.35\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%2820%2F7%29x%2B1600%2F7 ALIGN=MIDDLE  ALT=\"y=-%2820%2F7%29x%2B1600%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but that is just my bias (because I do not like negative numbers in denominators).<BR>\n" );
document.write( "As you said (or meant to say), in the inverse function, x is the cost per pound for the mixed ground beef, and y is the number of pounds of the less expensive ground beef.<BR>\n" );
document.write( "(Do not forget to specify what's your beef, for which the y in the inverse function represents the number of pounds).<BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2873%29=%2880-73%29%2F0.35=7%2F0.35=20 ALIGN=MIDDLE  ALT=\"y%2873%29=%2880-73%29%2F0.35=7%2F0.35=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of pounds of the less expensive ground beef that must be in the mix to get 50 pounds of a mix with a total cost of x=$73.<BR>\n" );
document.write( "Of course, 30 pounds (50 pounds - 20 pounds = 30 pounds) of that mix will be the more expensive ground beef. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );