document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138284>Question 138284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An organism of a certain type can grow from 30 to 195 in 5 hours. Find k for the growth formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100994 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=100994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An organism of a certain type can grow from 30 to 195 in 5 hours. Find k for the growth formula.<BR>\n" );
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document.write( "You have two points: (0,30) and (5,195)<BR>\n" );
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document.write( "The model form is y = ab^x<BR>\n" );
document.write( "Substitute to get:<BR>\n" );
document.write( "195 = ab^5<BR>\n" );
document.write( "30  = ab^0<BR>\n" );
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document.write( "Divide the 2nd equation into the 1st:<BR>\n" );
document.write( "(195/3) = b^5<BR>\n" );
document.write( "b = 2.3045...<BR>\n" );
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document.write( "From the 2nd equation, a = 30<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "y = 30*2.3045^x<BR>\n" );
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document.write( "I'm not sure you mean by the \"k\" variable.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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