document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158168>Question 158168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hooke's Law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how far will the spring stretch when a force of 30 pounds is applied? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116540 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=116540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the \"distance, d, a string is stretched varies directly with the force, F\", this means that we have the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=kF ALIGN=MIDDLE  ALT=\"d=kF\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=kF ALIGN=MIDDLE  ALT=\"d=kF\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=k%2812%29 ALIGN=MIDDLE  ALT=\"3=k%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3 ALIGN=MIDDLE  ALT=\"d=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=12 ALIGN=MIDDLE  ALT=\"F=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12=k ALIGN=MIDDLE  ALT=\"3%2F12=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 12 to isolate k\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4=k ALIGN=MIDDLE  ALT=\"1%2F4=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the variation constant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F4 ALIGN=MIDDLE  ALT=\"k=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or in decimal form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.25 ALIGN=MIDDLE  ALT=\"k=0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=kF ALIGN=MIDDLE  ALT=\"d=kF\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the original equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%281%2F4%29F ALIGN=MIDDLE  ALT=\"d=%281%2F4%29F\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F4 ALIGN=MIDDLE  ALT=\"k=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%281%2F4%29%2830%29 ALIGN=MIDDLE  ALT=\"d=%281%2F4%29%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since we want the distance when the \"force of 30 pounds is applied\", we need to plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=30 ALIGN=MIDDLE  ALT=\"F=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=30%2F4 ALIGN=MIDDLE  ALT=\"d=30%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=15%2F2 ALIGN=MIDDLE  ALT=\"d=15%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=7.5 ALIGN=MIDDLE  ALT=\"d=7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to decimal form\r<BR>\n" );
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document.write( "So the distance is 7.5 inches when a force of 30 pounds is applied.\r<BR>\n" );
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