document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129564>Question 129564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is a growth curve?<BR>\n" );
document.write( "a)y=0.6^x<BR>\n" );
document.write( "b)y=(2/3)^-x<BR>\n" );
document.write( "c)y=3.5^-x<BR>\n" );
document.write( "d)y=2(1/3)^x<BR>\n" );
document.write( "I think the answer is (d). Can someone please confirm??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94602 by </B><A HREF=/tutors/aboutme.mpl?userid=ilana><B>ilana(307)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ilana><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=94602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is tricky! Your answer is actually incorrect, but I was fooled at first as well.  In order for a curve to be a growth curve, it must be of the form a(b)^x, where b is a number greater than 1.  When the exponent is -x, that is the same as saying a(1/b)^x.  For most of these, a=1.  So the choices are:<BR>\n" );
document.write( "a) y=(6/10)^x<BR>\n" );
document.write( "b) y=(3/2)^x<BR>\n" );
document.write( "c) y=(2/7)^x<BR>\n" );
document.write( "d) y=2(1/3)^x<BR>\n" );
document.write( "Can you see now which one has a b>1?<BR>\n" );
document.write( "The answer is b, because 3/2, the growth factor, is greater than 1.  The rest will get smaller as x gets bigger. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );