document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149027>Question 1149027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially, increasing by 18% per day.\r<BR>\n" );
document.write( "\n" );
document.write( "Write a function f that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted.\r<BR>\n" );
document.write( "\n" );
document.write( "f<BR>\n" );
document.write( "(t)=<BR>\n" );
document.write( "   \r<BR>\n" );
document.write( "\n" );
document.write( "How many days after it was planted will the sunflower be 27 inches tall?\r<BR>\n" );
document.write( "\n" );
document.write( "      days   \r<BR>\n" );
document.write( "\n" );
document.write( "How many days after it was planted will the sunflower be 149 inches tall?<BR>\n" );
document.write( "   <BR>\n" );
document.write( "     days   \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770487 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The initial height is 8; the daily growth factor is 1+18% = 100%+18% = 118% = 1.18.<br><BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+8%281.18%29%5Et ALIGN=MIDDLE  ALT=\"f%28t%29+=+8%281.18%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(b) # of days for the height to reach 27<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27+=+8%281.18%29%5Et ALIGN=MIDDLE  ALT=\"27+=+8%281.18%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The variable is in an exponent; use logarithms.<br><BR>\n" );
document.write( "Or graph \"8(1.18)^t\" and \"27\" on a graphing calculator and see where the graphs intersect.<br><BR>\n" );
document.write( "(c) # of days for the height to reach 149<br><BR>\n" );
document.write( "Same as (b), just different numbers....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );