document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134605>Question 134605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98467 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=98467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5)<BR>\n" );
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document.write( "You need to find a and b.<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "Substitute to get:<BR>\n" );
document.write( "9 = a*b^4.5<BR>\n" );
document.write( "3 = a*b^3<BR>\n" );
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document.write( "Divide the 2nd equation into the 1st to get:<BR>\n" );
document.write( "3 = b^(3/2)<BR>\n" );
document.write( "Raise both sides to the (2/3) power to get:<BR>\n" );
document.write( "b = 3^(2/3)<BR>\n" );
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document.write( "Subsitute to solve for \"a\":<BR>\n" );
document.write( "3 = a^3<BR>\n" );
document.write( "3 = a*3^2<BR>\n" );
document.write( "a = 3/9 = 1/3<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "y = (1/3)*3^(2x/3)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = (1/3)* (3^(2/3))^x<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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