document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572025>Question 572025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! In the following, write an expression in terms of the given variables that represents the indicated quantity:\r<BR>\n" );
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document.write( "d.	The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds.  (Hint:  The answer should contain q as well as n.)\r<BR>\n" );
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document.write( "e.	The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.\r<BR>\n" );
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document.write( "f.	Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.\r<BR>\n" );
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document.write( "g.	The sum of three consecutive even whole numbers if the greatest is x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368333 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d.	The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds.  (Hint:  The answer should contain q as well as n.)\r<BR>\n" );
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document.write( "The time, n, is in minutues, so the amount triples every 1/2 min.<BR>\n" );
document.write( "After the 1st 1/2 min., the amount<BR>\n" );
document.write( "The expression will be of the form q(n) = q*3^(kn)<BR>\n" );
document.write( "We need to find the coefficient, k:<BR>\n" );
document.write( "After 1/2 min. the amount will be 3q, which means (1/2)k = 1 -> k = 2<BR>\n" );
document.write( "So the equation is q(n)=q*3^(2n)<BR>\n" );
document.write( "e.	The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.<BR>\n" );
document.write( "Let T(t) = the temperature t hours ago<BR>\n" );
document.write( "If the temperature drops 3F every hour, and if the current temp. is 40, then:<BR>\n" );
document.write( "the temp. 1 hr ago was 43, the temp. 2 hrs ago was 46, etc.<BR>\n" );
document.write( "The equation that describes this is T(t) = 40 + 3t<BR>\n" );
document.write( "f.	Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.<BR>\n" );
document.write( "The total earnings will be s + s + 5000 + 2s = 4s + 5000<BR>\n" );
document.write( "g.	The sum of three consecutive even whole numbers if the greatest is x.<BR>\n" );
document.write( "If the largest number is x, then the other two numbers are x-2 and x-4<BR>\n" );
document.write( "So the sum = x + x-2 + x-4 = 3x-6 </SPAN>\n" );
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