document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219561>Question 219561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I understand a and c of this problem but I cannot figure out b and d because of the month to days thing. The question is;\r<BR>\n" );
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document.write( "Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 53 feet long and weigh 23 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age.\r<BR>\n" );
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document.write( "a.) If L and t are linearly related, express L in terms of t.<BR>\n" );
document.write( "L=mt+b<BR>\n" );
document.write( "53=m(7)+24<BR>\n" );
document.write( "29/7=m<BR>\n" );
document.write( "L=(29/7)m+24\r<BR>\n" );
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document.write( "b.) What is the daily increase in the length of a young whale? (Use 1 month= 30 days)<BR>\n" );
document.write( "???<BR>\n" );
document.write( "L=(29/7)?+24\r<BR>\n" );
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document.write( "c.) IF W and t are linearly related, express W in terms of t.<BR>\n" );
document.write( "W=mt+c<BR>\n" );
document.write( "23=m(7)+3<BR>\n" );
document.write( "20/7=m<BR>\n" );
document.write( "W=(20/7)m+3\r<BR>\n" );
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document.write( "d.) What is the daily increase in the weight of a young whale?<BR>\n" );
document.write( "W=(20/7)?+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165112 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "You have an error in parts A and D.  I think perhaps you confused the symbol <i>m</i> meaning slope in a linear equation and the fact that time <i>t</i> is measured in months.\r<BR>\n" );
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document.write( "The correct answer to part A is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L\ =\ \frac{29}{7}t\,+\,24\">\r<BR>\n" );
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document.write( "And the correct answer to part D is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ W\ =\ \frac{20}{7}t\,+\,3\">\r<BR>\n" );
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document.write( "As to part B:\r<BR>\n" );
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document.write( "The length at zero months is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L\ =\ \frac{29}{7}(0)\,+\,24\ =\ 24\">\r<BR>\n" );
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document.write( "The length at one month is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L\ =\ \frac{29}{7}(1)\,+\,24\ =\ \frac{29}{7}\,+\,24\">\r<BR>\n" );
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document.write( "And the difference is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{29}{7}\"> feet\r<BR>\n" );
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document.write( "meaning that the whale increases its length that much each month, or each 30 days.  Therefore, the whale will increase its length one-thirtieth of that amount each day, namely:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{29}{7\cdot 30}\"> feet.\r<BR>\n" );
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document.write( "You can do your own arithmetic.\r<BR>\n" );
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document.write( "Do part D the same way, namely take the slope number <i>m</i> from the weight equation and divide it by 30.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
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