document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206989>Question 1206989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A container with full capacity of 1l of water started leaking at a rate of 5 ml per second. At this rate, what fraction of the tank will still be filled with water after 2 minutes? Give your answer in the simplest form.\r<BR>\n" );
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document.write( "(1) 2/5\r<BR>\n" );
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document.write( "(2) 3/10\r<BR>\n" );
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document.write( "(3) 2/3\r<BR>\n" );
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document.write( "(4) 3/5 </SPAN>\n" );
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document.write( "Answer: <font color=red>2/5</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "The \"1 l\" looks a lot like two lowercase L's put together.<BR>\n" );
document.write( "Perhaps your teacher should have written it as \"1 L\" or \"one liter\".\r<BR>\n" );
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document.write( "x = number of seconds that elapse<BR>\n" );
document.write( "y = amount of water, in mL, in the tank\r<BR>\n" );
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document.write( "The equation is<BR>\n" );
document.write( "y = -5x+1000\r<BR>\n" );
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document.write( "This is because the equation is of y = mx+b form<BR>\n" );
document.write( "m  = -5 = slope = how much water in mL leaks per second<BR>\n" );
document.write( "b = 1000 = starting number of mL of water<BR>\n" );
document.write( "1000 mL = 1 liter\r<BR>\n" );
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document.write( "If we plugged x = 0 into y = -5x+1000, then we'd get y = 1000.\r<BR>\n" );
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document.write( "Plug x = 120 into the equation to find that y = -5*(120)+1000 = 400\r<BR>\n" );
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document.write( "At the 2 minute marker, aka 120 seconds, 400 mL of water remains.<BR>\n" );
document.write( "400/1000 = <font color=red>2/5</font> of the tank is full by this point.\r<BR>\n" );
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document.write( "Another approach\r<BR>\n" );
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document.write( "1 liter = 1000 mL<BR>\n" );
document.write( "1 mL = 1/1000 = 0.001 liter<BR>\n" );
document.write( "1 mL = 0.001 liter<BR>\n" );
document.write( "5*1 mL = 5*0.001 liter<BR>\n" );
document.write( "5 mL = 0.005 liter\r<BR>\n" );
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document.write( "The tank is losing 0.005 liters of water per second.<BR>\n" );
document.write( "After 120 seconds (aka 2 minutes), the tank lost 120*0.005 = 0.6 liters of water.<BR>\n" );
document.write( "The amount remaining is 1 liter - 0.6 liters = 0.4 liters<BR>\n" );
document.write( "Divide this over the tank's capacity of 1 liter to get 0.4, note the \"liters\" units cancel when dividing.\r<BR>\n" );
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document.write( "Then convert that to a fraction<BR>\n" );
document.write( "0.4 = 4/10 = <font color=red>2/5</font><BR>\n" );
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