document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202248>Question 1202248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist is monitoring cell division and notes that a single cell divides into 4 cells within one hour. During the next hour, each of these cells divides into 4 cells. This process continues at the same rate every hour.<BR>\n" );
document.write( "Part A. What type of function could be used to represent this situation?<BR>\n" );
document.write( "Part B. Justify your reasoning.  </SPAN>\n" );
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document.write( "This is an <font color=\"red\">exponential</font> function because the number of cells quadruple each hour. We multiply the previous cell count by 4 to get the new cell count.\r<BR>\n" );
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document.write( "1 cell -> 4 cells -> 16 cells -> 64 cells -> etc\r<BR>\n" );
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document.write( "A visual representation could be a tree diagram such as this example<BR>\n" );
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document.write( "Generation A = 1 cell<BR>\n" );
document.write( "Generation B = 4 cells<BR>\n" );
document.write( "Generation C = 16 cells<BR>\n" );
document.write( "And so on.\r<BR>\n" );
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document.write( "The equation would be<BR>\n" );
document.write( "y = 1*4^x<BR>\n" );
document.write( "or simply<BR>\n" );
document.write( "y = 4^x<BR>\n" );
document.write( "where,<BR>\n" );
document.write( "x = number of hours<BR>\n" );
document.write( "y = number of cells\r<BR>\n" );
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document.write( "Example: if x = 2 hours elapse then y = 4^x = 4^2 = 16 cells are present (see generation C in the diagram above)<BR>\n" );
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