document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200566>Question 1200566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A(n) 11-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 4 days.<BR>\n" );
document.write( "What is the 4-day growth factor for the height of the sunflower?<BR>\n" );
document.write( "What is the 1-day growth factor for the height of the sunflower?<BR>\n" );
document.write( "What is the 1-day percent change for the height of the sunflower?<BR>\n" );
document.write( "Write a function f that determines the height of the sunflower (in inches) in terms of the number of days since the sunflower was planted.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834727 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plant is 11 inches high to start with.<BR>\n" );
document.write( "growth factor is 1.25 every 4 days.<BR>\n" );
document.write( "answers to your questions are shown below:\r<BR>\n" );
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document.write( "(a) What is the 4-day growth factor for the height of the sunflower?\r<BR>\n" );
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document.write( "4 days growth factor is 1.25\r<BR>\n" );
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document.write( "(b) What is the 1-day growth factor for the height of the sunflower?\r<BR>\n" );
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document.write( "1 day growth factor is 1.25 ^ (1/4) = 1.057371263 rounded to the number of decimal digits that can be displayed.\r<BR>\n" );
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document.write( "(c) What is the 1-day percent change for the height of the sunflower?\r<BR>\n" );
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document.write( "1 day percent change for the height of the unflower is (1.057371263 - 1) * 100 = 5.7371263%.\r<BR>\n" );
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document.write( "((d) Write a function f that determines the height of the sunflower (in inches) in terms of the number of days since the sunflower was planted.\r<BR>\n" );
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document.write( "h = 11 * 1.25 ^ (x/4)\r<BR>\n" );
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document.write( "x is the number of days.\r<BR>\n" );
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document.write( "you can graph this function as shown below:\r<BR>\n" );
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document.write( "after 1 day, the plant has grown by a factor of 1.25 ^ (1/4).<BR>\n" );
document.write( "11 * 1.25 ^ (1/4) is equal to 11.6310839.<BR>\n" );
document.write( "the growth factor is 1.25 ^ (1/4) = 1.057371263.<BR>\n" );
document.write( "the percent change is 5.7371263%.\r<BR>\n" );
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document.write( "by using the 4 day growth factor and dividing the number of days by 4, you automatically get the 1 day growth factor.\r<BR>\n" );
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