document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126591>Question 126591</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The volume V of a given mass of gas varies directly as the temperature T and inversely as the 19)<BR>\n" );
document.write( "pressure P. If V = 465.0 in.3 when T = 310° and P = 10 lb/in.2, what is the volume when T = 300°<BR>\n" );
document.write( "and P = 20 lb/in.2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92749 by </B><A HREF=/tutors/aboutme.mpl?userid=marcsam823><B>marcsam823(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=marcsam823><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=92749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two key words in this exercise are \"directly\" and \"inversely\".<BR>\n" );
document.write( "--If one variable varies directly with another it increases or decreases as the other increases or decreases. (move in the same direction)<BR>\n" );
document.write( "--If one variable varies inversely as another it decreases as the other increases and increases as the other decreases. (move in opposite directions)\r<BR>\n" );
document.write( "\n" );
document.write( "To translate this algebraically:<BR>\n" );
document.write( "A. \"Volume V varies directly as the Temperature T\"  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2FT ALIGN=MIDDLE  ALT=\"V%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" > or divide<BR>\n" );
document.write( "B. \"Volume V varies inversely as the Pressure P\" = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2AP ALIGN=MIDDLE  ALT=\"V%2AP\"   DISABLED_style= \"max-width:90%; height:auto;\" > or multiply\r<BR>\n" );
document.write( "\n" );
document.write( "Putting this all together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2AV%2FT ALIGN=MIDDLE  ALT=\"P%2AV%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "1. Table of values<BR>\n" );
document.write( "Let V1 = 465<BR>\n" );
document.write( "Let P1 = 10<BR>\n" );
document.write( "Let T1 = 310\r<BR>\n" );
document.write( "\n" );
document.write( "Let P2 = 20<BR>\n" );
document.write( "Let T2 = 300<BR>\n" );
document.write( "2. Find V2\r<BR>\n" );
document.write( "\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2AV%2FT+=+P1%2AV1%2FT1+=+P2%2AV2%2FT2 ALIGN=MIDDLE  ALT=\"P%2AV%2FT+=+P1%2AV1%2FT1+=+P2%2AV2%2FT2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set up a proportion:<BR>\n" );
document.write( "4.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2AV%2FT+=+10%2A465%2F310+=+20%2AV2%2F300 ALIGN=MIDDLE  ALT=\"P%2AV%2FT+=+10%2A465%2F310+=+20%2AV2%2F300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute the given values<BR>\n" );
document.write( "5.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2AV%2FT+=+15+=+20%2AV2%2F300 ALIGN=MIDDLE  ALT=\"P%2AV%2FT+=+15+=+20%2AV2%2F300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for V2<BR>\n" );
document.write( "6.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500+=+20%2AV2 ALIGN=MIDDLE  ALT=\"4500+=+20%2AV2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross-multiply<BR>\n" );
document.write( "7.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V2+=+225 ALIGN=MIDDLE  ALT=\"V2+=+225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "8. Check your answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A465%2F310+=+15 ALIGN=MIDDLE  ALT=\"10%2A465%2F310+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A225%2F300+=+15 ALIGN=MIDDLE  ALT=\"20%2A225%2F300+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+=+15 ALIGN=MIDDLE  ALT=\"15+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is correct. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );