document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697328>Question 697328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To beat at a rate of 200 beats per minute, a dragonfly's wing must be .36 inches. Using this data, find the constant for the inverse variation relating the length of an insect's wings to the beats per minute. B. Using the constant you found in A, state whether a dragonfly with a wingspan of 1.2 inches will be able to stay aloft if his wings beat 50 times per second. Using complete sentences, explain your answer. I really don't understand these two questions, your help will be highly appreciated!!! Thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430025 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=430025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are basically saying that the dragonfly's wing will beat<BR>\n" );
document.write( "faster the shorter it is made.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of the wing in beats / min<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+ ALIGN=MIDDLE  ALT=\"+w+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length of the wing in inches<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "They are say ing that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+k%2A%281%2Fw%29+ ALIGN=MIDDLE  ALT=\"+s+=+k%2A%281%2Fw%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+ ALIGN=MIDDLE  ALT=\"+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is the constant of inverse variation.<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+k%2A%281%2F.36%29+ ALIGN=MIDDLE  ALT=\"+200+=+k%2A%281%2F.36%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+.36%2A200+ ALIGN=MIDDLE  ALT=\"+k+=+.36%2A200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+72+ ALIGN=MIDDLE  ALT=\"+k+=+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "It sounds like the speed of the beating has to be the given<BR>\n" );
document.write( "minimum, or the dragonfly  cannot fly.<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+k%2A%281%2Fw%29+ ALIGN=MIDDLE  ALT=\"+s+=+k%2A%281%2Fw%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+72%2A%281%2F1.2%29+ ALIGN=MIDDLE  ALT=\"+s+=+72%2A%281%2F1.2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+60+ ALIGN=MIDDLE  ALT=\"+s+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > beats/sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+ ALIGN=MIDDLE  ALT=\"+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > beats/sec is slower that this, so the dragonfly<BR>\n" );
document.write( "will not stay aloft beating at this speed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );