document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202756>Question 1202756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2018, a 2-liter of Coca-Cola cost $1.40. In 2022, the cost is $1.98. <BR>\n" );
document.write( "Write an exponential equation to describe the rate of inflation over this time period. Let t = 0 correspond to 2018, and let C be the cost of a 2-liter. Round any numbers calculated to at least four decimal places.<BR>\n" );
document.write( "C = ?\r<BR>\n" );
document.write( "\n" );
document.write( "If inflation continues at the same rate, how much will a 2-liter of Coke cost in 2033? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837842 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "General form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=%28a%29%28b%5Et%29 ALIGN=MIDDLE  ALT=\"C=%28a%29%28b%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "At t = 0 (in 2018), C was 1.40:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.40=%28a%29%28b%5E0%29=a%281%29=a ALIGN=MIDDLE  ALT=\"1.40=%28a%29%28b%5E0%29=a%281%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1.40 ALIGN=MIDDLE  ALT=\"a=1.40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In 2022 (t=4), the cost is $1.98:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.98=%28a%29%28b%5E4%29=1.40%28b%5E4%29 ALIGN=MIDDLE  ALT=\"1.98=%28a%29%28b%5E4%29=1.40%28b%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E4=1.98%2F1.40 ALIGN=MIDDLE  ALT=\"b%5E4=1.98%2F1.40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%281.98%2F1.40%29%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"b=%281.98%2F1.40%29%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.0905 to 4 decimal places<br><BR>\n" );
document.write( "The (approximate) equation is<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=%281.40%29%281.0905%5Et%29 ALIGN=MIDDLE  ALT=\"C=%281.40%29%281.0905%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In 2033 (t=15), the cost will be (approximately)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.40%281.0905%5E15%29 ALIGN=MIDDLE  ALT=\"1.40%281.0905%5E15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $5.14 to the nearest cent<br><BR>\n" );
document.write( "ANSWER: $5.14<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );