document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152778>Question 1152778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of Sara's new car decreases at a rate of 8% each year.\r<BR>\n" );
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document.write( "Write an exponential function to model the decrease in the car's value each month.<BR>\n" );
document.write( "Write an exponential function to model the decrease in the car's value each week.<BR>\n" );
document.write( "Write an exponential function to model the decrease in the car's value each day.<BR>\n" );
document.write( "What relationship is there between the amount of decrease and the time interval measured?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774853 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The formula for the amount of decrease in the car is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28r%2Fn%29 ALIGN=MIDDLE  ALT=\"y=%28r%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the percent (written as a decimal) of decrease per year and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n ALIGN=MIDDLE  ALT=\"+n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of time periods per year.\r<BR>\n" );
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document.write( "-For months, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > months per year, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+12 ALIGN=MIDDLE  ALT=\"n+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "The rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >%;= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F100+=+0.08 ALIGN=MIDDLE  ALT=\"8%2F100+=+0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "This gives us<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=%280.08%2F12%29 ALIGN=MIDDLE  ALT=\"+y=%280.08%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Dividing, we get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.0067%29 ALIGN=MIDDLE  ALT=\"y=%280.0067%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-For weeks, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52 ALIGN=MIDDLE  ALT=\"52\"   DISABLED_style= \"max-width:90%; height:auto;\" > weeks per year, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+52 ALIGN=MIDDLE  ALT=\"n+=+52\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "The rate is still <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.08 ALIGN=MIDDLE  ALT=\"0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >; this gives us <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.08%2F52%29 ALIGN=MIDDLE  ALT=\"y=%280.08%2F52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.0015%29 ALIGN=MIDDLE  ALT=\"y=%280.0015%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-For days, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=365.25 ALIGN=MIDDLE  ALT=\"365.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > days per year, so<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+365.25 ALIGN=MIDDLE  ALT=\"+n+=+365.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "The rate is still <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.08 ALIGN=MIDDLE  ALT=\"0.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >; this gives us <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.08%2F365.25%29 ALIGN=MIDDLE  ALT=\"y=%280.08%2F365.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=%280.0002%29 ALIGN=MIDDLE  ALT=\"+y=%280.0002%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-Comparing the number of weeks to the number of months, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2F12+=+4.3 ALIGN=MIDDLE  ALT=\"52%2F12+=+4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.3 ALIGN=MIDDLE  ALT=\"4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > times more weeks in a year than there are days. <BR>\n" );
document.write( "The amount of decrease from months to weeks went from <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0067%CB%A3+to+0.0015 ALIGN=MIDDLE  ALT=\"0.0067%CB%A3+to+0.0015\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.0015%2F0.0067+=+0.2234 ALIGN=MIDDLE  ALT=\"+0.0015%2F0.0067+=+0.2234\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is close to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4.3 ALIGN=MIDDLE  ALT=\"1%2F4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "-Comparing the number of days to the number of weeks, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=365.25%2F52+=+7.02 ALIGN=MIDDLE  ALT=\"365.25%2F52+=+7.02\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.02 ALIGN=MIDDLE  ALT=\"7.02\"   DISABLED_style= \"max-width:90%; height:auto;\" > times more days in a year than there are weeks. \r<BR>\n" );
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document.write( "The amount of decrease from weeks to days went from \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0002%2F0.0015+=+0.1333 ALIGN=MIDDLE  ALT=\"0.0002%2F0.0015+=+0.1333\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is close to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7.02 ALIGN=MIDDLE  ALT=\"1%2F7.02\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "answers:\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.08%2F12%29=+0.0067 ALIGN=MIDDLE  ALT=\"y=%280.08%2F12%29=+0.0067\"   DISABLED_style= \"max-width:90%; height:auto;\" >-For months\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.08%2F52%29=+0.0015 ALIGN=MIDDLE  ALT=\"y=%280.08%2F52%29=+0.0015\"   DISABLED_style= \"max-width:90%; height:auto;\" >-For weeks\r<BR>\n" );
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document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280.08%2F365.25%29+=+0.0002 ALIGN=MIDDLE  ALT=\"y=%280.08%2F365.25%29+=+0.0002\"   DISABLED_style= \"max-width:90%; height:auto;\" >-For days\r<BR>\n" );
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