document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128845>Question 1128845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A)The table below shows some input-output pairs for an exponential function f<BR>\n" );
document.write( "x....f(x)<BR>\n" );
document.write( "0....21.6<BR>\n" );
document.write( "1....3.6<BR>\n" );
document.write( "2....0.6<BR>\n" );
document.write( "3....0.1<BR>\n" );
document.write( "I)Determine the 1-unit growth factor for f.<BR>\n" );
document.write( "II)Determine the 1-unit percent change for F.<BR>\n" );
document.write( "III)Determine the initial value for f(the output value when the input is 0.)<BR>\n" );
document.write( "IV)Write a function formula for F.<BR>\n" );
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document.write( "(I) The growth factor is the ratio of any two successive measurements.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1%2F0.6+=+1%2F6 ALIGN=MIDDLE  ALT=\"0.1%2F0.6+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The growth factor is 1/6.<br><BR>\n" );
document.write( "(II) The value changes from 1 to 1/6, a decrease of 5/6.  The fractional change is -5/6; the percent change is - 83 1/3%.<br><BR>\n" );
document.write( "(III) Given: the initial value (when x=0) is 21.6.<br><BR>\n" );
document.write( "(IV) F(x) = 21.6(1/6)^x<br><BR>\n" );
document.write( "Note: Use the fractional form of the growth factor because it is exact; a decimal would only be an approximation.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );