document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153447>Question 1153447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the equation represents exponential growth, exponential decay, or neither. Explain.<BR>\n" );
document.write( "y = 11,761(0.91)t<BR>\n" );
document.write( "Exponential growth; because the base that is the rate of proportion is greater than 1.<BR>\n" );
document.write( "Exponential growth; because the base that is the rate of proportion is less than 1.    <BR>\n" );
document.write( "Exponential decay; because the base that is the rate of proportion is greater than 1.<BR>\n" );
document.write( "Exponential decay; because the base that is the rate of proportion is less than 1.<BR>\n" );
document.write( "Neither; because the equation is not an exponential function </SPAN>\n" );
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document.write( "recall:\r<BR>\n" );
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document.write( "In exponential growth functions, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base ALIGN=MIDDLE  ALT=\"base\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the exponent must be greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "If the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base ALIGN=MIDDLE  ALT=\"base\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the exponent were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the function would remain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=constant ALIGN=MIDDLE  ALT=\"constant\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The graph would be a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=horizontal ALIGN=MIDDLE  ALT=\"horizontal\"   DISABLED_style= \"max-width:90%; height:auto;\" > line. \r<BR>\n" );
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document.write( "If the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base+ ALIGN=MIDDLE  ALT=\"base+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of the exponent were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=less ALIGN=MIDDLE  ALT=\"less\"   DISABLED_style= \"max-width:90%; height:auto;\" > than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=greater ALIGN=MIDDLE  ALT=\"greater\"   DISABLED_style= \"max-width:90%; height:auto;\" > than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the function would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=decreasing ALIGN=MIDDLE  ALT=\"decreasing\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Exponential Decay Formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11761%280.91%29%5Et ALIGN=MIDDLE  ALT=\"y+=+11761%280.91%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in your case  the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base+ ALIGN=MIDDLE  ALT=\"base+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of the exponent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.91 ALIGN=MIDDLE  ALT=\"0.91\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=less ALIGN=MIDDLE  ALT=\"less\"   DISABLED_style= \"max-width:90%; height:auto;\" > than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,but greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the function would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=decreasing+ ALIGN=MIDDLE  ALT=\"decreasing+\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so, you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=exponential ALIGN=MIDDLE  ALT=\"exponential\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+decay ALIGN=MIDDLE  ALT=\"+decay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer: Exponential decay; because the base that is the rate of proportion is less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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