document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62418>Question 62418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the constant rate of increase k, when the expotential function consist of x values of 0,1,2,3,4,5. and y values 2,4,8,16,32,64 </SPAN>\n" );
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document.write( "Let the exponential function be y = K p^x\r<BR>\n" );
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document.write( "Plugging in x = 1 and y = 4 in the above we get  4 = K p ------------(1)\r<BR>\n" );
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document.write( "Plugging in x = 2 and y = 8 in the above equation,\r<BR>\n" );
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document.write( "8 = K p^2 ------------------------(2)\r<BR>\n" );
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document.write( "Dividing (2) by (1) we get..<BR>\n" );
document.write( "8/4 = K p^2/Kp\r<BR>\n" );
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document.write( "==> 2 = p\r<BR>\n" );
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document.write( "So the exponential function becomes..\r<BR>\n" );
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document.write( "y = K 2^x\r<BR>\n" );
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document.write( "Plugging in x = 5 and y = 64 in the above,\r<BR>\n" );
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document.write( "64 = K 2^5\r<BR>\n" );
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document.write( "==> 64 = 32K  [ 2^5 = 32]\r<BR>\n" );
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document.write( "==> 64/32 = 32k/32\r<BR>\n" );
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document.write( "==> 2 = k\r<BR>\n" );
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document.write( "Thus the constant rate of increase k = 2\r<BR>\n" );
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document.write( "Good Luck!!! </SPAN>\n" );
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