document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29056>Question 29056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To estimate how long a thunderstorm will last, meteorologist can use the formula t= square root of d^3 over 216, where t is the time in hours and d is the diameter of the storm in miles.\r<BR>\n" );
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document.write( "1) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal(homework asked this, not me) \r<BR>\n" );
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document.write( "2) Will a thunderstorm twice this diameter last twice as long?Explain.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15875 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=++sqrt%28+d%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=++sqrt%28+d%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[a] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%288%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+sqrt%288%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%288%2A8%29+%2A+sqrt%284%2A2%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+sqrt%288%2A8%29+%2A+sqrt%284%2A2%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+8+%2A+2+%2A+sqrt%282%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+8+%2A+2+%2A+sqrt%282%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2+%2A+1.414+%2F+27 ALIGN=MIDDLE  ALT=\"t+=+2+%2A+1.414+%2F+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+.1047 ALIGN=MIDDLE  ALT=\"t+=+.1047\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is in hours<BR>\n" );
document.write( "for minutes and seconds<BR>\n" );
document.write( ".1047 hours x 60 minutes/hour = 6.284 minutes<BR>\n" );
document.write( ".284 minutes x 60 seconds/minute = 17 seconds<BR>\n" );
document.write( "so the time is 6 minutes 17 seconds<BR>\n" );
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document.write( "twice the diameter would be 16 miles or 2*8 miles<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=++sqrt%28+d%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=++sqrt%28+d%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%28%282%2A8%29%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+sqrt%28%282%2A8%29%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%282%5E3%2A8%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+sqrt%282%5E3%2A8%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that's because  (2*8) * (2*8) * (2*8) = (2*2*2) * (8*8*8)<BR>\n" );
document.write( "[b] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%282%5E3%29+%2A+sqrt%288%5E3%29+%2F+216 ALIGN=MIDDLE  ALT=\"t+=+sqrt%282%5E3%29+%2A+sqrt%288%5E3%29+%2F+216\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "notice the difference between [a] (the 2nd line) and [b]<BR>\n" );
document.write( "the difference is the factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%5E3%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so if you double the diameter this is the factor you multiply the time by <BR>\n" );
document.write( "to get the new time.<BR>\n" );
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