document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108055>Question 108055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you pleasecheck my answer>\r<BR>\n" );
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document.write( "Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis.   Suppose that the number of homes built can be modeled by an exponential function, H= p * at, where p is the number of new homes built in the first year recorded.  If you were a homebuilder looking for work, would you prefer that the value of a to be between 0 and 1 or larger than 1? Explain your reasoning. <BR>\n" );
document.write( "Typing hint:  Type formula above as H = p * a^t<BR>\n" );
document.write( "I picked 20 homes the first year and thought that \"a\" should then be 365\r<BR>\n" );
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document.write( "H=20*1^365<BR>\n" );
document.write( "H=20*1<BR>\n" );
document.write( "H=20\r<BR>\n" );
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document.write( "Thank You<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 #78716 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=78716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose that the number of homes built can be modeled by an exponential function, H= p * at, where p is the number of new homes built in the first year recorded. If you were a homebuilder looking for work, would you prefer that the value of a to be between 0 and 1 or larger than 1? Explain your reasoning. <BR>\n" );
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document.write( "H(t) = p*a^t<BR>\n" );
document.write( "If you pick 0 < a < 1 the number of houses built decreases as time increases:<BR>\n" );
document.write( "For example:<BR>\n" );
document.write( "If a = (1/2), H(3) = p*(1/2)^3 = (1/8)p---number built in the 3rd yr.<BR>\n" );
document.write( "If a + (1/2), H(5) = p*(1/2)^5 = (1/32)p---number built in the 5th yr.<BR>\n" );
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document.write( "If you pick a>1 the number of houses built increases as time increases:<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "If a = 2, H(3) = p*2^3 = 8p---number built in the 3rd yr.<BR>\n" );
document.write( "If a = 2, H(5) = p*2^5 = 32p---number built in the 5th yr.<BR>\n" );
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document.write( "It is up to you to determine whether you want the number of houses to<BR>\n" );
document.write( "increase or decrease.  Good luck.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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